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Algebra 1 : How to find the whole from the part with percentage

Study concepts, example questions & explanations for Algebra 1

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10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #21 : Whole And Part

What number of $10\%$ is nine?

Possible Answers:

$\frac{1}{90}$

900

$\frac{1}{9}$

Correct answer:

Explanation:

Let the number be .

Some number of ten percent means some number multiplied by ten percent.

A percentage is a number out of 100 parts.

Set up the equation.

$x(\frac{10}{100}) = 9$

Reduce the fraction and simplify the left side.

$x(\frac{1}{10}) = 9$

Multiply both sides by ten to eliminate the fraction.

$x(\frac{1}{10}) \times 10= 9\times 10$

Simplify both sides.

x=90

The answer is .

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Example Question #3181 : Algebra 1

What number of twenty percent is 40?

Possible Answers:

200

Correct answer:

200

Explanation:

Write an equation to express the percentage and the part to find the whole.

A percentage is a number out of 100 parts. The is the whole that we will need to find.

$x(\frac{20}{100})=40$

Reduce the fraction.

$x(\frac{1}{5})=40$

Multiply by five on both sides.

$x(\frac{1}{5})\times 5=40\times 5$

Simplify the left and right sides.

x=200

The answer is 200 .

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Example Question #3182 : Algebra 1

What number of twelve percent is four?

Possible Answers:

$\frac{100}{3}$

$\frac{75}{4}$

Correct answer:

$\frac{100}{3}$

Explanation:

Set up an equation to represent this scenario.

Let the number be .

A percentage is some number out of 100 parts.

$x \times \frac{12}{100} = 4$

Multiply both sides by $\frac{100}{12}$ .

$x \times \frac{12}{100} \times \frac{100}{12}= 4 \times \frac{100}{12}$

Simplify both sides.

$x= 4 \cdot \frac{100}{4\cdot3}$

The answer is: $\frac{100}{3}$

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Example Question #3183 : Algebra 1

What number of five percent is ten?

Possible Answers:

200

0.2

2000

Correct answer:

200

Explanation:

Set up the equation so that some number multiplied with five percent is equal to ten.

$x \cdot 5\%=10$

The percentage can be rewritten as a fraction.

$x \cdot \frac{5}{100}=10$

Simplify the fraction.

$x \cdot \frac{1}{20}=10$

Multiply by the denominator on both sides to eliminate the fraction.

$x \cdot \frac{1}{20}\cdot20=10\cdot20$

Simplify both sides.

The answer is: x=200

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Example Question #24 : How To Find The Whole From The Part With Percentage

What number of forty percent is six?

Possible Answers:

$\frac{12}{5}$

$\frac{5}{12}$

$\frac{5}{3}$

$15\%$

Correct answer:

Explanation:

Write an equation such that some number times 40 parts of 100 is equal to six.

$x\cdot \frac{40}{100} = 6$

Reduce the fraction.

$x\cdot \frac{2}{5} = 6$

To isolate the x-variable, multiply both sides by the reciprocal of the fraction.

$x\cdot \frac{2}{5} \cdot \frac{5}{2} = 6\cdot \frac{5}{2}$

Simplify both sides.

$x=\frac{30}{2} = 15$

The answer is:

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Example Question #25 : How To Find The Whole From The Part With Percentage

In a classroom survey, 18 kids reported having brown hair. The teacher calculated that the 18 with brown hair make up 60% of her class. How many total students are in the class?

Possible Answers:

300

Correct answer:

Explanation:

Set up an equation representing the information you are given to start (18 out of an unknown total equals 60% or 60 out of 100).

$\frac{18}{x}=\frac{60}{100}$

Manipulate the equation to get X by itself.

$18=\frac{60x}{100}$

1800=60x

x=30

There are 30 total students in the class.

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Example Question #26 : How To Find The Whole From The Part With Percentage

Nine is fifty percent of what number?

Possible Answers:

Correct answer:

Explanation:

Set up an equation such that a number times 50 out of 100 parts is nine.

$x \cdot \frac{50}{100}=9$

Solve this equation.

$x \cdot \frac{1}{2}=9$

Multply by two on both sides to eliminate the fraction.

$x \cdot \frac{1}{2} \times 2=9 \times2$

Simplify both sides.

x=18

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Algebra 1 : How to find the whole from the part with percentage

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #21 : Whole And Part

Example Question #3181 : Algebra 1

Example Question #3182 : Algebra 1

Example Question #3183 : Algebra 1

Example Question #24 : How To Find The Whole From The Part With Percentage

Example Question #25 : How To Find The Whole From The Part With Percentage

Example Question #26 : How To Find The Whole From The Part With Percentage

All Algebra 1 Resources

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