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SSAT Middle Level Math : How to find the whole from the part with percentage

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Example Questions

Example Question #4 : Percentages

Exactly $\frac{1}{3}$ of the plants in a garden are tomato plants. Which of the following could be the total number of plants in the garden?

Possible Answers:

Correct answer:

Explanation:

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,

1 + 8 = 9

which is divisible by 3, so 18 is divisible by 3.

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Example Question #1 : How To Find The Whole From The Part With Percentage

330 is 75% of what number?

Possible Answers:

400

440

220

420

$247 \frac{1}{2}$

Correct answer:

440

Explanation:

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 :

0.75 N = 330

$0.75 N \div 0.75 = 330\div 0.75$

N = 440

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Example Question #1161 : Hspt Mathematics

88 is $12 \frac{1}{2}$ % of what number?

Possible Answers:

704

576

Correct answer:

704

Explanation:

We can rewrite $12 \frac{1}{2}$ % 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 :

0.125 N = 88

$0.125 N \div 0.125 = 88 \div 0.125$

N =704

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Example Question #43 : Percentages

32 is $2 \frac{1}{2}$ % of what number?

Possible Answers:

128

$\frac{4}{5}$

800

1,280

$7\frac{7}{8}$

Correct answer:

1,280

Explanation:

We can rewrite $2 \frac{1}{2}$ % 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 :

0.025 N = 32

$0.025 N \div 0.025 = 32 \div 0.025$

N = 1,280

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Example Question #4 : How To Work With Percentages

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)

Possible Answers:

160

220

106

1,064

1,596

Correct answer:

160

Explanation:

3% of 5,319 can be calculated by multiplying 5,319 by 0.03, the decimal equivalent of 3%:

$5,319 \times 0.03 = ?$

Multiply 5,319 by 3, then move the decimal point so that two digits are to the right:

$5,319 \times 3 =15,957$ ,

$5,319 \times 0.03 = 159.57$

Rounded to the nearest whole number, this is 160 signatures.

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Example Question #2 : How To Find The Whole From The Part With Percentage

3,200 is 160% of what number?

Possible Answers:

2,000

5,120

3,040

$2,133\frac{1}{3}$

2,400

Correct answer:

2,000

Explanation:

Set up the proportion statement and solve for by cross-multiplying:

$\frac{3,200}{N}= \frac{160}{100}$

$N \cdot 160 = 3,200 \cdot 100 = 320,000$

$N \cdot 160 \div 160 = 320,000\div 160$

N = 2,000

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Example Question #3 : How To Find The Whole From The Part With Percentage

12 is $\frac{3}{4} \%$ of what number?

Possible Answers:

900

1,600

$\frac{9}{100}$

Correct answer:

1,600

Explanation:

Set up the proportion statement and solve for by cross-multiplying:

$\frac{12}{N } = \frac{\frac{3}{4}}{100}$

$\frac{3}{4} \cdot N = 12 \cdot 100 = 1,200$

$\frac{4}{3} \cdot \frac{3}{4} \cdot N = \frac{4}{3} \cdot 1,200$

$N = \frac{4,800}{3} =1,600$

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Example Question #1 : How To Find The Whole From The Part With Percentage

If 40 percent of a number is 44, what is 60 percent of the same number?

Possible Answers:

26.4

10.6

Correct answer:

Explanation:

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.

$\frac{Portion}{Total}=\frac{40 percent}{100 percent}=\frac{44}{number}$

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: $\frac{60percent}{100percent}=\frac{x}{110}$

This means that 60 percent of the number is 66.

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Example Question #1 : How To Find The Whole From The Part With Percentage

128 is $40\%$ of what number?

Possible Answers:

300

$51 \frac{1}{5}$

360

$31\frac{1}{4}$

320

Correct answer:

320

Explanation:

128 is $40\%$ of a number we will call ; alternatively, 0.40 multiplied by is equal to 128 . Set up this equation and solve for :

0.4 N = 128

$0.4 N \div 0.4 = 128\div 0.4$

N= 320

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Example Question #2 : How To Find The Whole From The Part With Percentage

$64\%$ of what number is 8,000 ?

Possible Answers:

15,000

14,400

12,800

16,000

12,500

Correct answer:

12,500

Explanation:

Taking 64% of a number is the same as multiplying that number by 0.64 . We can find our number, therefore, by dividing 8,000 by 0.64 :

$8,000 \div 0.64 = 12,500$

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SSAT Middle Level Math : How to find the whole from the part with percentage

Study concepts, example questions & explanations for SSAT Middle Level Math

All SSAT Middle Level Math Resources

Example Questions

Example Question #4 : Percentages

Example Question #1 : How To Find The Whole From The Part With Percentage

Example Question #1161 : Hspt Mathematics

Example Question #43 : Percentages

Example Question #4 : How To Work With Percentages

Example Question #2 : How To Find The Whole From The Part With Percentage

Example Question #3 : How To Find The Whole From The Part With Percentage

Example Question #1 : How To Find The Whole From The Part With Percentage

Example Question #1 : How To Find The Whole From The Part With Percentage

Example Question #2 : How To Find The Whole From The Part With Percentage

All SSAT Middle Level Math Resources

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