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Common Core: 6th Grade Math : Find a Percent of a Quantity as a Rate Per 100: CCSS.Math.Content.6.RP.A.3c

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Example Questions

Example Question #732 : Ssat Middle Level Quantitative (Math)

Red is a very popular car color. A production company manufactures cars and parks them in a lot behind the plant. There are 100 $\displaystyle 100$ cars in the parking lot and $60 \%$ $\displaystyle 60 \%$ of them are red. How many red cars are in the parking lot?

Possible Answers:

$\displaystyle 56$

$\displaystyle 72$

$\displaystyle 60$

$\displaystyle 64$

$\displaystyle 36$

Correct answer:

$\displaystyle 60$

Explanation:

We can use ratios and proportions to solve this problem. Percentages can be written as ratios. The word “percent” means for every hundred. In the problem, we are told that $60\%$ $\displaystyle 60\%$ of the cars are red. In other words, for every hundred cars $\displaystyle 60$ of them are red. We can write the following ratio:

$60:100\rightarrow\frac{60}{100}$ $\displaystyle 60:100\rightarrow\frac{60}{100}$

Reduce.

$\frac{60}{100}\rightarrow \frac{6}{10}\rightarrow \frac{3}{5}$ $\displaystyle \frac{60}{100}\rightarrow \frac{6}{10}\rightarrow \frac{3}{5}$

We know that there are 100 $\displaystyle 100$ cars in the parking lot. We can write the following ratio by substituting the variable Red $\displaystyle Red$ for the number of red cars:

$Red:100\rightarrow \frac{Red}{100}$ $\displaystyle Red:100\rightarrow \frac{Red}{100}$

Now, we can create a proportion using our two ratios.

$\frac{3}{5}=\frac{Red}{100}$ $\displaystyle \frac{3}{5}=\frac{Red}{100}$

Cross multiply and solve for Red $\displaystyle Red$.

$5 \times Red=3\times100$ $\displaystyle 5 \times Red=3\times100$

Simplify.

$\displaystyle 5 Red=300$

Divide both sides of the equation by $\displaystyle 5$.

$\frac{5Red}{5}=\frac{300}{5}$ $\displaystyle \frac{5Red}{5}=\frac{300}{5}$

Solve.

Red=60 $\displaystyle Red=60$

There are $\displaystyle 60$ red cars in the parking lot.

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Example Question #241 : Numbers And Operations

Red is a very popular car color. A production company manufactures cars and parks them in a lot behind the plant. There are 250 $\displaystyle 250$ cars in the parking lot and $10 \%$ $\displaystyle 10 \%$ of them are red. How many red cars are in the parking lot?

Possible Answers:

$\displaystyle 30$

$\displaystyle 52$

$\displaystyle 50$

$\displaystyle 25$

$\displaystyle 15$

Correct answer:

$\displaystyle 25$

Explanation:

We can use ratios and proportions to solve this problem. Percentages can be written as ratios. The word “percent” means for every hundred. In the problem, we are told that $10\%$ $\displaystyle 10\%$ of the cars are red. In other words, for every hundred cars $\displaystyle 10$ of them are red. We can write the following ratio:

$10:100\rightarrow\frac{10}{100}$ $\displaystyle 10:100\rightarrow\frac{10}{100}$

Reduce.

$\frac{10}{100}\rightarrow \frac{1}{10}$ $\displaystyle \frac{10}{100}\rightarrow \frac{1}{10}$

We know that there are 250 $\displaystyle 250$ cars in the parking lot. We can write the following ratio by substituting the variable Red $\displaystyle Red$ for the number of red cars:

$Red:250\rightarrow \frac{Red}{250}$ $\displaystyle Red:250\rightarrow \frac{Red}{250}$

Now, we can create a proportion using our two ratios.

$\frac{1}{10}=\frac{Red}{250}$ $\displaystyle \frac{1}{10}=\frac{Red}{250}$

Cross multiply and solve for Red $\displaystyle Red$.

$10 \times Red=1\times 250$ $\displaystyle 10 \times Red=1\times 250$

Simplify.

$\displaystyle 10 Red=250$

Divide both sides of the equation by $\displaystyle 10$.

$\frac{10Red}{10}=\frac{250}{10}$ $\displaystyle \frac{10Red}{10}=\frac{250}{10}$

Solve.

Red=25 $\displaystyle Red=25$

There are $\displaystyle 25$ red cars in the parking lot.

Report an Error

Example Question #242 : Numbers And Operations

Red is a very popular car color. A production company manufactures cars and parks them in a lot behind the plant. There are 136 $\displaystyle 136$ cars in the parking lot and $25 \%$ $\displaystyle 25 \%$ of them are red. How many red cars are in the parking lot?

Possible Answers:

$\displaystyle 54$

$\displaystyle 34$

$\displaystyle 45$

$\displaystyle 38$

$\displaystyle 43$

Correct answer:

$\displaystyle 34$

Explanation:

We can use ratios and proportions to solve this problem. Percentages can be written as ratios. The word “percent” means for every hundred. In the problem, we are told that $25\%$ $\displaystyle 25\%$ of the cars are red. In other words, for every hundred cars $\displaystyle 25$ of them are red. We can write the following ratio:

$25:100\rightarrow\frac{25}{100}$ $\displaystyle 25:100\rightarrow\frac{25}{100}$

Reduce.

$\frac{25}{100}\rightarrow \frac{1}{4}$ $\displaystyle \frac{25}{100}\rightarrow \frac{1}{4}$

We know that there are 136 $\displaystyle 136$ cars in the parking lot. We can write the following ratio by substituting the variable Red $\displaystyle Red$ for the number of red cars:

$Red:136\rightarrow \frac{Red}{136}$ $\displaystyle Red:136\rightarrow \frac{Red}{136}$

Now, we can create a proportion using our two ratios.

$\frac{1}{4}=\frac{Red}{136}$ $\displaystyle \frac{1}{4}=\frac{Red}{136}$

Cross multiply and solve for Red $\displaystyle Red$.

$4 \times Red=1\times136$ $\displaystyle 4 \times Red=1\times136$

Simplify.

$\displaystyle 4 Red=136$

Divide both sides of the equation by $\displaystyle 4$.

$\frac{4Red}{4}=\frac{136}{4}$ $\displaystyle \frac{4Red}{4}=\frac{136}{4}$

Solve.

Red=34 $\displaystyle Red=34$

There are $\displaystyle 34$ red cars in the parking lot.

Report an Error

Example Question #741 : Ssat Middle Level Quantitative (Math)

Red is a very popular car color. A production company manufactures cars and parks them in a lot behind the plant. There are 164 $\displaystyle 164$ cars in the parking lot and $25 \%$ $\displaystyle 25 \%$ of them are red. How many red cars are in the parking lot?

Possible Answers:

$\displaystyle 47$

$\displaystyle 41$

$\displaystyle 52$

$\displaystyle 33$

$\displaystyle 36$

Correct answer:

$\displaystyle 41$

Explanation:

$25:100\rightarrow\frac{25}{100}$ $\displaystyle 25:100\rightarrow\frac{25}{100}$

Reduce.

$\frac{25}{100}\rightarrow \frac{1}{4}$ $\displaystyle \frac{25}{100}\rightarrow \frac{1}{4}$

We know that there are 164 $\displaystyle 164$ cars in the parking lot. We can write the following ratio by substituting the variable Red $\displaystyle Red$ for the number of red cars:

$Red:164\rightarrow \frac{Red}{164}$ $\displaystyle Red:164\rightarrow \frac{Red}{164}$

Now, we can create a proportion using our two ratios.

$\frac{1}{4}=\frac{Red}{164}$ $\displaystyle \frac{1}{4}=\frac{Red}{164}$

Cross multiply and solve for Red $\displaystyle Red$.

$4 \times Red=1\times164$ $\displaystyle 4 \times Red=1\times164$

Simplify.

$\displaystyle 4 Red=164$

Divide both sides of the equation by $\displaystyle 4$.

$\frac{4Red}{4}=\frac{164}{4}$ $\displaystyle \frac{4Red}{4}=\frac{164}{4}$

Solve.

Red=41 $\displaystyle Red=41$

There are $\displaystyle 41$ red cars in the parking lot.

Report an Error

Example Question #21 : Percentage

Red is a very popular car color. A production company manufactures cars and parks them in a lot behind the plant. There are 135 $\displaystyle 135$ cars in the parking lot and $60 \%$ $\displaystyle 60 \%$ of them are red. How many red cars are in the parking lot?

Possible Answers:

$\displaystyle 93$

$\displaystyle 72$

$\displaystyle 81$

$\displaystyle 79$

$\displaystyle 60$

Correct answer:

$\displaystyle 81$

Explanation:

$60:100\rightarrow\frac{60}{100}$ $\displaystyle 60:100\rightarrow\frac{60}{100}$

Reduce.

$\frac{60}{100}\rightarrow \frac{6}{10}\rightarrow \frac{3}{5}$ $\displaystyle \frac{60}{100}\rightarrow \frac{6}{10}\rightarrow \frac{3}{5}$

We know that there are 135 $\displaystyle 135$ cars in the parking lot. We can write the following ratio by substituting the variable Red $\displaystyle Red$ for the number of red cars:

$Red:135\rightarrow \frac{Red}{135}$ $\displaystyle Red:135\rightarrow \frac{Red}{135}$

Now, we can create a proportion using our two ratios.

$\frac{3}{5}=\frac{Red}{135}$ $\displaystyle \frac{3}{5}=\frac{Red}{135}$

Cross multiply and solve for Red $\displaystyle Red$.

$5 \times Red=3\times135$ $\displaystyle 5 \times Red=3\times135$

Simplify.

$\displaystyle 5 Red=405$

Divide both sides of the equation by $\displaystyle 5$.

$\frac{5Red}{5}=\frac{405}{5}$ $\displaystyle \frac{5Red}{5}=\frac{405}{5}$

Solve.

Red=81 $\displaystyle Red=81$

There are $\displaystyle 81$ red cars in the parking lot.

Report an Error

Example Question #243 : Numbers And Operations

Red is a very popular car color. A production company manufactures cars and parks them in a lot behind the plant. There are 400 $\displaystyle 400$ cars in the parking lot and $40 \%$ $\displaystyle 40 \%$ of them are red. How many red cars are in the parking lot?

Possible Answers:

148 $\displaystyle 148$

$\displaystyle 61$

160 $\displaystyle 160$

164 $\displaystyle 164$

116 $\displaystyle 116$

Correct answer:

160 $\displaystyle 160$

Explanation:

We can use ratios and proportions to solve this problem. Percentages can be written as ratios. The word “percent” means for every hundred. In the problem, we are told that $40\%$ $\displaystyle 40\%$ of the cars are red. In other words, for every hundred cars $\displaystyle 40$ of them are red. We can write the following ratio:

$40:100\rightarrow\frac{40}{100}$ $\displaystyle 40:100\rightarrow\frac{40}{100}$

Reduce.

$\frac{40}{100}\rightarrow \frac{4}{10}\rightarrow \frac{2}{5}$ $\displaystyle \frac{40}{100}\rightarrow \frac{4}{10}\rightarrow \frac{2}{5}$

We know that there are 400 $\displaystyle 400$ cars in the parking lot. We can write the following ratio by substituting the variable Red $\displaystyle Red$ for the number of red cars:

$Red:400\rightarrow \frac{Red}{400}$ $\displaystyle Red:400\rightarrow \frac{Red}{400}$

Now, we can create a proportion using our two ratios.

$\frac{2}{5}=\frac{Red}{400}$ $\displaystyle \frac{2}{5}=\frac{Red}{400}$

Cross multiply and solve for Red $\displaystyle Red$.

$5 \times Red=2\times400$ $\displaystyle 5 \times Red=2\times400$

Simplify.

$\displaystyle 5 Red=800$

Divide both sides of the equation by $\displaystyle 5$.

$\frac{5Red}{5}=\frac{800}{5}$ $\displaystyle \frac{5Red}{5}=\frac{800}{5}$

Solve.

Red=160 $\displaystyle Red=160$

There are 160 $\displaystyle 160$ red cars in the parking lot.

Report an Error

Example Question #22 : Percentage

Red is a very popular car color. A production company manufactures cars and parks them in a lot behind the plant. There are 200 $\displaystyle 200$ cars in the parking lot and $50 \%$ $\displaystyle 50 \%$ of them are red. How many red cars are in the parking lot?

Possible Answers:

102 $\displaystyle 102$

210 $\displaystyle 210$

100 $\displaystyle 100$

120 $\displaystyle 120$

Correct answer:

100 $\displaystyle 100$

Explanation:

We can use ratios and proportions to solve this problem. Percentages can be written as ratios. The word “percent” means for every hundred. In the problem, we are told that $50\%$ $\displaystyle 50\%$ of the cars are red. In other words, for every hundred cars $\displaystyle 50$ of them are red. We can write the following ratio:

$50:100\rightarrow\frac{50}{100}$ $\displaystyle 50:100\rightarrow\frac{50}{100}$

Reduce.

$\frac{50}{100}\rightarrow \frac{5}{10}\rightarrow \frac{1}{2}$ $\displaystyle \frac{50}{100}\rightarrow \frac{5}{10}\rightarrow \frac{1}{2}$

We know that there are 200 $\displaystyle 200$ cars in the parking lot. We can write the following ratio by substituting the variable Red $\displaystyle Red$ for the number of red cars:

$Red:200\rightarrow \frac{Red}{200}$ $\displaystyle Red:200\rightarrow \frac{Red}{200}$

Now, we can create a proportion using our two ratios.

$\frac{1}{2}=\frac{Red}{200}$ $\displaystyle \frac{1}{2}=\frac{Red}{200}$

Cross multiply and solve for Red $\displaystyle Red$.

$2 \times Red=1\times200$ $\displaystyle 2 \times Red=1\times200$

Simplify.

$\displaystyle 2 Red=200$

Divide both sides of the equation by $\displaystyle 2$.

$\frac{2Red}{2}=\frac{200}{2}$ $\displaystyle \frac{2Red}{2}=\frac{200}{2}$

Solve.

Red=100 $\displaystyle Red=100$

There are 100 $\displaystyle 100$ red cars in the parking lot.

Report an Error

Example Question #85 : Numbers And Operations

Red is a very popular car color. A production company manufactures cars and parks them in a lot behind the plant. There are 300 $\displaystyle 300$ cars in the parking lot and $30 \%$ $\displaystyle 30 \%$ of them are red. How many red cars are in the parking lot?

Possible Answers:

$\displaystyle 99$

$\displaystyle 90$

$\displaystyle 72$

$\displaystyle 81$

$\displaystyle 74$

Correct answer:

$\displaystyle 90$

Explanation:

We can use ratios and proportions to solve this problem. Percentages can be written as ratios. The word “percent” means for every hundred. In the problem, we are told that $30\%$ $\displaystyle 30\%$ of the cars are red. In other words, for every hundred cars $\displaystyle 30$ of them are red. We can write the following ratio:

$30:100\rightarrow\frac{30}{100}$ $\displaystyle 30:100\rightarrow\frac{30}{100}$

Reduce.

$\frac{30}{100}\rightarrow \frac{3}{10}$ $\displaystyle \frac{30}{100}\rightarrow \frac{3}{10}$

We know that there are 300 $\displaystyle 300$ cars in the parking lot. We can write the following ratio by substituting the variable Red $\displaystyle Red$ for the number of red cars:

$Red:300\rightarrow \frac{Red}{300}$ $\displaystyle Red:300\rightarrow \frac{Red}{300}$

Now, we can create a proportion using our two ratios.

$\frac{3}{10}=\frac{Red}{300}$ $\displaystyle \frac{3}{10}=\frac{Red}{300}$

Cross multiply and solve for Red $\displaystyle Red$.

$10 \times Red=3\times300$ $\displaystyle 10 \times Red=3\times300$

Simplify.

$\displaystyle 10 Red=900$

Divide both sides of the equation by $\displaystyle 10$.

$\frac{10Red}{10}=\frac{900}{10}$ $\displaystyle \frac{10Red}{10}=\frac{900}{10}$

Solve.

Red=90 $\displaystyle Red=90$

There are $\displaystyle 90$ red cars in the parking lot.

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Example Question #1 : Find A Percent Of A Quantity As A Rate Per 100: Ccss.Math.Content.6.Rp.A.3c

Red is a very popular car color. A production company manufactures cars and parks them in a lot behind the plant. There are 400 $\displaystyle 400$ cars in the parking lot and $4 \%$ $\displaystyle 4 \%$ of them are red. How many red cars are in the parking lot?

Possible Answers:

$\displaystyle 36$

$\displaystyle 8$

$\displaystyle 24$

$\displaystyle 16$

$\displaystyle 18$

Correct answer:

$\displaystyle 16$

Explanation:

We can use ratios and proportions to solve this problem. Percentages can be written as ratios. The word “percent” means for every hundred. In the problem, we are told that $4\%$ $\displaystyle 4\%$ of the cars are red. In other words, for every hundred cars $\displaystyle 4$ of them are red. We can write the following ratio:

$4:100\rightarrow\frac{4}{100}$ $\displaystyle 4:100\rightarrow\frac{4}{100}$

Reduce.

$\frac{4}{100}\rightarrow \frac{2}{50}\rightarrow \frac{1}{25}$ $\displaystyle \frac{4}{100}\rightarrow \frac{2}{50}\rightarrow \frac{1}{25}$

We know that there are 400 $\displaystyle 400$ cars in the parking lot. We can write the following ratio by substituting the variable Red $\displaystyle Red$ for the number of red cars:

$Red:40\rightarrow \frac{Red}{400}$ $\displaystyle Red:40\rightarrow \frac{Red}{400}$

Now, we can create a proportion using our two ratios.

$\frac{1}{25}=\frac{Red}{400}$ $\displaystyle \frac{1}{25}=\frac{Red}{400}$

Cross multiply and solve for Red $\displaystyle Red$.

$25 \times Red=1\times400$ $\displaystyle 25 \times Red=1\times400$

Simplify.

$\displaystyle 25 Red=400$

Divide both sides of the equation by $\displaystyle 25$.

$\frac{25Red}{25}=\frac{400}{25}$ $\displaystyle \frac{25Red}{25}=\frac{400}{25}$

Solve.

Red=16 $\displaystyle Red=16$

There are $\displaystyle 16$ red cars in the parking lot.

Report an Error

Example Question #64 : Grade 6

Red is a very popular car color. A production company manufactures cars and parks them in a lot behind the plant. There are 200 $\displaystyle 200$ cars in the parking lot and $35 \%$ $\displaystyle 35 \%$ of them are red. How many red cars are in the parking lot?

Possible Answers:

$\displaystyle 72$

$\displaystyle 70$

$\displaystyle 35$

$\displaystyle 80$

$\displaystyle 89$

Correct answer:

$\displaystyle 70$

Explanation:

We can use ratios and proportions to solve this problem. Percentages can be written as ratios. The word “percent” means for every hundred. In the problem, we are told that $35\%$ $\displaystyle 35\%$ of the cars are red. In other words, for every hundred cars $\displaystyle 35$ of them are red. We can write the following ratio:

$35:100\rightarrow\frac{35}{100}$ $\displaystyle 35:100\rightarrow\frac{35}{100}$

Reduce.

$\frac{35}{100}\rightarrow \frac{7}{20}$ $\displaystyle \frac{35}{100}\rightarrow \frac{7}{20}$

We know that there are 200 $\displaystyle 200$ cars in the parking lot. We can write the following ratio by substituting the variable Red $\displaystyle Red$ for the number of red cars:

$Red:200\rightarrow \frac{Red}{200}$ $\displaystyle Red:200\rightarrow \frac{Red}{200}$

Now, we can create a proportion using our two ratios.

$\frac{7}{20}=\frac{Red}{200}$ $\displaystyle \frac{7}{20}=\frac{Red}{200}$

Cross multiply and solve for Red $\displaystyle Red$.

$20 \times Red=7\times200$ $\displaystyle 20 \times Red=7\times200$

Simplify.

$\displaystyle 20Red=1400$

Divide both sides of the equation by $\displaystyle 5$.

$\frac{20Red}{20}=\frac{1400}{20}$ $\displaystyle \frac{20Red}{20}=\frac{1400}{20}$

Solve.

Red=70 $\displaystyle Red=70$

There are $\displaystyle 70$ red cars in the parking lot.

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Common Core: 6th Grade Math : Find a Percent of a Quantity as a Rate Per 100: CCSS.Math.Content.6.RP.A.3c

Study concepts, example questions & explanations for Common Core: 6th Grade Math

All Common Core: 6th Grade Math Resources

Example Questions

Example Question #732 : Ssat Middle Level Quantitative (Math)

Example Question #241 : Numbers And Operations

Example Question #242 : Numbers And Operations

Example Question #741 : Ssat Middle Level Quantitative (Math)

Example Question #21 : Percentage

Example Question #243 : Numbers And Operations

Example Question #22 : Percentage

Example Question #85 : Numbers And Operations

Example Question #1 : Find A Percent Of A Quantity As A Rate Per 100: Ccss.Math.Content.6.Rp.A.3c

Example Question #64 : Grade 6

All Common Core: 6th Grade Math Resources

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