How to find the whole from the part with percentage - SSAT Middle Level Quantitative
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25% of fish are blue (50 fish). 50% of fish are green (100 fish). The remaining fish are red. How many fish are red?
25% of fish are blue (50 fish). 50% of fish are green (100 fish). The remaining fish are red. How many fish are red?
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First, we need to determine the percentage of fish that are red. So add the percentages of blue and green fish and then subtract this number from 100. So,
and 
If you notice that the problem already states how many fish constitute 25 percent, you don’t need to do any more work! Therefore, 50 fish are red.
First, we need to determine the percentage of fish that are red. So add the percentages of blue and green fish and then subtract this number from 100. So,
If you notice that the problem already states how many fish constitute 25 percent, you don’t need to do any more work! Therefore, 50 fish are red.
Exactly 
of the plants in a garden are tomato plants. Which of the following could be the total number of plants in the garden?
Exactly
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The total number of plants has to be divisible by 3. Of the answer choices, the only one that is divisible by 3 is 18. You can check this because numbers that are divisible have the sum of their digits also divisible by 3. For example,
which is divisible by 3, so 18 is divisible by 3.
The total number of plants has to be divisible by 3. Of the answer choices, the only one that is divisible by 3 is 18. You can check this because numbers that are divisible have the sum of their digits also divisible by 3. For example,
which is divisible by 3, so 18 is divisible by 3.
0.45 is 24% of what number?
0.45 is 24% of what number?
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The answer multiplied by 24%, or, equivalently, 0.24, is 0.45. Subsequently, divide 0.45 by 0.24.
The answer multiplied by 24%, or, equivalently, 0.24, is 0.45. Subsequently, divide 0.45 by 0.24.
of what number is 
?
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Taking 
of a number is the same as multiplying that number by 
. We can find our number, therefore, by dividing 
by 
:
Taking
330 is 75% of what number?
330 is 75% of what number?
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330 is 75% of a number we will call 
; alternatively, 0.75 multiplied by 
is equal to 330. Set up this equation and solve for 
:
330 is 75% of a number we will call
is 
of what number?
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is 
of a number we will call 
; alternatively, 
multiplied by 
is equal to 
. Set up this equation and solve for 
:
32 is 
% of what number?
32 is
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We can rewrite 
% as 2.5%. 32 is 2.5% of a number 
, or, equivalently, 0.025 multiplied by a number 
is equal to 32. We can write this as an equation and solve for 
:
We can rewrite
88 is 
% of what number?
88 is
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We can rewrite 
% as 12.5%. 88 is 12.5% of a number 
, or, equivalently, 0.125 multiplied by a number 
is equal to 88. We can write this as an equation and solve for 
:
We can rewrite
To get on the ballot for student body president, a student must turn in a petition with the signatures of 3% of the students. If there are 5,319 students, how many signatures must a student get to be on that ballot? (Nearest whole person)
To get on the ballot for student body president, a student must turn in a petition with the signatures of 3% of the students. If there are 5,319 students, how many signatures must a student get to be on that ballot? (Nearest whole person)
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3% of 5,319 can be calculated by multiplying 5,319 by 0.03, the decimal equivalent of 3%:
Multiply 5,319 by 3, then move the decimal point so that two digits are to the right:
,
so
Rounded to the nearest whole number, this is 160 signatures.
3% of 5,319 can be calculated by multiplying 5,319 by 0.03, the decimal equivalent of 3%:
Multiply 5,319 by 3, then move the decimal point so that two digits are to the right:
so
Rounded to the nearest whole number, this is 160 signatures.
Refer to the above diagram. If there were 
voters who were registered as neither Republicans nor Democrats in Smith County in 
, how many voters (nearest whole number) were there total?
Refer to the above diagram. If there were
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of the voters were unaffiliated, and 
were affiliated with other parties, so 
of the voters were registered as neither Republicans nor Democrats. Since 
of the voters numbered 
, we can find the total number of voters by setting up and solving a proportion:
which rounds to 
voters.
which rounds to
3,200 is 160% of what number?
3,200 is 160% of what number?
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Set up the proportion statement and solve for 
by cross-multiplying:
Set up the proportion statement and solve for
12 is 
of what number?
12 is
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Set up the proportion statement and solve for 
by cross-multiplying:
Set up the proportion statement and solve for
If 40 percent of a number is 44, what is 60 percent of the same number?
If 40 percent of a number is 44, what is 60 percent of the same number?
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To determine what 60 percent of the number is, one must first determine what the number is. To find the number, set up a proportion relating the original percentage and the value of the percentage where the top number is the fractional value and the bottom number is the total.
Use cross multiplication to solve for the number.
Once the number is found, the new percentage can be found. There are two ways to do this: multiplication or a proportion.
- Multiplication:
- Proportion:
This means that 60 percent of the number is 66.
To determine what 60 percent of the number is, one must first determine what the number is. To find the number, set up a proportion relating the original percentage and the value of the percentage where the top number is the fractional value and the bottom number is the total.
Use cross multiplication to solve for the number.
Once the number is found, the new percentage can be found. There are two ways to do this: multiplication or a proportion.
- Multiplication:
- Proportion:
This means that 60 percent of the number is 66.
25% of fish are blue (50 fish). 50% of fish are green (100 fish). The remaining fish are red. How many fish are red?
25% of fish are blue (50 fish). 50% of fish are green (100 fish). The remaining fish are red. How many fish are red?
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First, we need to determine the percentage of fish that are red. So add the percentages of blue and green fish and then subtract this number from 100. So,
and
If you notice that the problem already states how many fish constitute 25 percent, you don’t need to do any more work! Therefore, 50 fish are red.
First, we need to determine the percentage of fish that are red. So add the percentages of blue and green fish and then subtract this number from 100. So,
If you notice that the problem already states how many fish constitute 25 percent, you don’t need to do any more work! Therefore, 50 fish are red.
Exactly of the plants in a garden are tomato plants. Which of the following could be the total number of plants in the garden?
Exactly
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The total number of plants has to be divisible by 3. Of the answer choices, the only one that is divisible by 3 is 18. You can check this because numbers that are divisible have the sum of their digits also divisible by 3. For example,
which is divisible by 3, so 18 is divisible by 3.
The total number of plants has to be divisible by 3. Of the answer choices, the only one that is divisible by 3 is 18. You can check this because numbers that are divisible have the sum of their digits also divisible by 3. For example,
which is divisible by 3, so 18 is divisible by 3.
0.45 is 24% of what number?
0.45 is 24% of what number?
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The answer multiplied by 24%, or, equivalently, 0.24, is 0.45. Subsequently, divide 0.45 by 0.24.
The answer multiplied by 24%, or, equivalently, 0.24, is 0.45. Subsequently, divide 0.45 by 0.24.
of what number is ?
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Taking of a number is the same as multiplying that number by . We can find our number, therefore, by dividing by :
Taking
330 is 75% of what number?
330 is 75% of what number?
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330 is 75% of a number we will call ; alternatively, 0.75 multiplied by is equal to 330. Set up this equation and solve for :
330 is 75% of a number we will call
is of what number?
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is of a number we will call ; alternatively, multiplied by is equal to . Set up this equation and solve for :
32 is % of what number?
32 is
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We can rewrite % as 2.5%. 32 is 2.5% of a number , or, equivalently, 0.025 multiplied by a number is equal to 32. We can write this as an equation and solve for :
We can rewrite