How to find the percent of decrease - ACT Math

Find a common unit – in this case it is ounces. The decrease is from 307.2 oz. to 195.2 oz. (128 oz x 2.4 gal. – 32 oz. x 3.5 qts.) 307.2 oz. – 112 oz. = 195.2 oz. Then, 195.2/307.2 = 63.54 %

In October, the sweater cost \$80. In November, it was reduced by 7%. 7% of \$80 is \$5.60 (0.07 x 80). Thus, the new price of the sweater is \$80-\$5.60, which is \$74.40. In December, the sweater's price is reduced by an additional 6%. 6% of \$74.40 is \$4.46 (0.06 x 74.40). Thus, the December price for the sweater is $74.40-$4.46, which equals \$69.94. To find the percent change, we take the change (\$80-$69.94=$10.06) and divide by the initial price (\$80). We then multiply that quotient by 100 to get 12.6%.

% Discount = Amount of Discount ÷ Original Amount

% Discount = (Old Price – New Price) ÷ Original Amount

For this problem we have (200 – 150) ÷ 200 = 0.25 or 25% discount

2010–2011:

% Decrease = (2010 Income – 2011 Income) / 2010 Income

= (100000 – 94000) / 100000 = 6000 / 100000 = 0.06 = 6%

2011–2012:

% Decrease = (2011 Income – 2012 Income) / 2011 Income

= (94000–93000) / 94000 = 1000 / 94000 = .01 = 1%

If the team won fewer games, subtract of from :

Step 1: Find % of

Step 2: Subtract from

First, calculate the amount of profit that will need to be made to earn a profit. This is done by converting to and multiplying it by to get . This means that the store can mark down the television to dollars. Thus, we are asking for the percent change from to . This is calculated:

This means that it is a markdown.

The formula for percentage change is represented as:

Since the person has lost pounds, he or she will weigh . Thus, we know that our formula could be written:

Since we are looking for the percentage of decrease, we can represent this as a positive number. (To decrease by a positive amount is to have a negative percentage change, absolutely speaking.) Thus, our answer is .

Find a common unit – in this case it is ounces. The decrease is from 307.2 oz. to 195.2 oz. (128 oz x 2.4 gal. – 32 oz. x 3.5 qts.) 307.2 oz. – 112 oz. = 195.2 oz. Then, 195.2/307.2 = 63.54 %

In October, the sweater cost \$80. In November, it was reduced by 7%. 7% of \$80 is \$5.60 (0.07 x 80). Thus, the new price of the sweater is \$80-\$5.60, which is \$74.40. In December, the sweater's price is reduced by an additional 6%. 6% of \$74.40 is \$4.46 (0.06 x 74.40). Thus, the December price for the sweater is $74.40-$4.46, which equals \$69.94. To find the percent change, we take the change (\$80-$69.94=$10.06) and divide by the initial price (\$80). We then multiply that quotient by 100 to get 12.6%.

% Discount = Amount of Discount ÷ Original Amount

% Discount = (Old Price – New Price) ÷ Original Amount

For this problem we have (200 – 150) ÷ 200 = 0.25 or 25% discount

2010–2011:

% Decrease = (2010 Income – 2011 Income) / 2010 Income

= (100000 – 94000) / 100000 = 6000 / 100000 = 0.06 = 6%

2011–2012:

% Decrease = (2011 Income – 2012 Income) / 2011 Income

= (94000–93000) / 94000 = 1000 / 94000 = .01 = 1%

If the team won fewer games, subtract of from :

Step 1: Find % of

Step 2: Subtract from

First, calculate the amount of profit that will need to be made to earn a profit. This is done by converting to and multiplying it by to get . This means that the store can mark down the television to dollars. Thus, we are asking for the percent change from to . This is calculated:

This means that it is a markdown.

The formula for percentage change is represented as:

Since the person has lost pounds, he or she will weigh . Thus, we know that our formula could be written:

Since we are looking for the percentage of decrease, we can represent this as a positive number. (To decrease by a positive amount is to have a negative percentage change, absolutely speaking.) Thus, our answer is .

Find a common unit – in this case it is ounces. The decrease is from 307.2 oz. to 195.2 oz. (128 oz x 2.4 gal. – 32 oz. x 3.5 qts.) 307.2 oz. – 112 oz. = 195.2 oz. Then, 195.2/307.2 = 63.54 %

In October, the sweater cost \$80. In November, it was reduced by 7%. 7% of \$80 is \$5.60 (0.07 x 80). Thus, the new price of the sweater is \$80-\$5.60, which is \$74.40. In December, the sweater's price is reduced by an additional 6%. 6% of \$74.40 is \$4.46 (0.06 x 74.40). Thus, the December price for the sweater is $74.40-$4.46, which equals \$69.94. To find the percent change, we take the change (\$80-$69.94=$10.06) and divide by the initial price (\$80). We then multiply that quotient by 100 to get 12.6%.

% Discount = Amount of Discount ÷ Original Amount

% Discount = (Old Price – New Price) ÷ Original Amount

For this problem we have (200 – 150) ÷ 200 = 0.25 or 25% discount

2010–2011:

% Decrease = (2010 Income – 2011 Income) / 2010 Income

= (100000 – 94000) / 100000 = 6000 / 100000 = 0.06 = 6%

2011–2012:

% Decrease = (2011 Income – 2012 Income) / 2011 Income

= (94000–93000) / 94000 = 1000 / 94000 = .01 = 1%

If the team won fewer games, subtract of from :

Step 1: Find % of

Step 2: Subtract from

First, calculate the amount of profit that will need to be made to earn a profit. This is done by converting to and multiplying it by to get . This means that the store can mark down the television to dollars. Thus, we are asking for the percent change from to . This is calculated:

This means that it is a markdown.