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Algebra 1 : Whole and Part

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 #61 : Whole And Part

What number is forty percent of thirty five?

Possible Answers:

Correct answer:

Explanation:

A percentage is some number out of 100. Set up an equation to find the missing number.

$x=(\frac{40}{100}) \cdot 35$

Simplify this equation.

$x=(\frac{2}{5}) \cdot 35 = 2(7)=14$

The answer is:

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Example Question #62 : Whole And Part

What is thirty percent of 90?

Possible Answers:

2.7

0.27

3.3

Correct answer:

Explanation:

Rewrite 30 percent into a fraction.

$30\% =\frac{30}{100} = \frac{3}{10}$

Multiply this with 90.

$\frac{3}{10} \cdot 90 = \frac{270}{10} = 27$

The answer is .

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Example Question #63 : Whole And Part

What is 76% of 24?

Possible Answers:

18.24

$\frac{600}{19}$

1.824

$\frac{19}{600}$

Correct answer:

18.24

Explanation:

To find the value, we must convert the percent to a fraction:

76%= $\frac{76}{100}$ .

Now, because "of" indicates multiplication, we multiply the fraction by the "whole":

$\frac{76}{100}\cdot 24=\frac{1824}{100}=18.24$

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Example Question #31 : How To Find The Part From The Whole With Percentage

What is 60 percent of 99?

Possible Answers:

$\frac{129}{7}$

$\frac{301}{5}$

$\frac{271}{32}$

$\frac{178}{3}$

$\frac{297}{5}$

Correct answer:

$\frac{297}{5}$

Explanation:

In order to determine the part, we will need to multiply the percent with the whole.

$60\% \cdot 99$

Convert the percent to a fraction. Remove the percentage sign and divide by 100.

$\frac{60}{100} \cdot 99 =\frac{ 3}{5} \cdot 99$

Multiply the numerator with 99.

The exact answer is: $\frac{297}{5}$

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Example Question #65 : Whole And Part

What is 40 percent of one-fourth?

Possible Answers:

$\frac{1}{160}$

$\frac{1}{8}$

$\frac{1}{5}$

$\frac{1}{20}$

$\frac{1}{10}$

Correct answer:

$\frac{1}{10}$

Explanation:

Rewrite the given percentage into a fraction. A percentage is some number out of 100 parts.

$40\%=\frac{40}{100} = \frac{2}{5}$

Multiply this fraction by one-fourth.

$\frac{2}{5} \cdot \frac{1}{4} = \frac{2}{20} = \frac{1}{10}$

The answer is: $\frac{1}{10}$

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Example Question #66 : Whole And Part

Find the number that is sixty percent of forty.

Possible Answers:

Correct answer:

Explanation:

Write sixty percent of forty as an expression.

$60\%\cdot 40$

The percentage can be converted to a fraction by removing the percentage sign and divide by 100.

Rewrite the expression and simplify.

$\frac{60}{100}\cdot 40 = \frac{3}{5}\cdot 40= 3\cdot 8$

The answer is:

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Example Question #67 : Whole And Part

What is forty percent of eighty?

Possible Answers:

Correct answer:

Explanation:

A percent is some number out of 100 parts. Rewrite 40 percent into a fraction.

$40\% = \frac{40}{100}$

Write the expression for forty percent of eighty.

$\frac{40}{100} \cdot 80$

Simplify the expression.

$\frac{40}{100} \cdot 80 = \frac{3200}{100} =32$

The answer is:

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Example Question #68 : Whole And Part

$\textup{What is 6\% of 4?}$

Possible Answers:

$\frac{25}{6}$

$\frac{6}{25}$

$\frac{2}{3}$

$\frac{3}{2}$

Correct answer:

$\frac{6}{25}$

Explanation:

Rewrite the percentage as a fraction. A percent is some number out of $100\textup{ parts}$ .

$\frac{6}{100}$

Multiply this fraction by .

$\frac{6}{100}\times 4 = \frac{6}{25\times 4}\times 4$

Cancel out the common terms in the denominator with the integer.

The answer is: $\frac{6}{25}$

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Example Question #64 : Whole And Part

What is three percent of three?

Possible Answers:

$\frac{9}{100}$

0.9

$\frac{9}{1000}$

Correct answer:

$\frac{9}{100}$

Explanation:

Rewrite three percent as a fraction.

$3\% =\frac{3}{100}$

Multiply this fraction with three.

$\frac{3}{100} \cdot 3=\frac{9}{100}$

The answer is: $\frac{9}{100}$

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Example Question #70 : Whole And Part

What is four percent of twelve?

Possible Answers:

$\frac{4}{5}$

$\frac{1}{48}$

$\frac{24}{5}$

$\frac{12}{25}$

$\frac{4}{25}$

Correct answer:

$\frac{12}{25}$

Explanation:

Write four percent as a fraction. A percent is a number out of 100 parts.

$4\% =\frac{4}{100}$

Multiply this fraction with twelve.

$\frac{4}{100}\cdot 12 = \frac{48}{100}$

Reduce this fraction.

$\frac{48}{100}=\frac{4\times 12}{4 \times 25}$

Cancel the common terms of this fraction.

The answer is: $\frac{12}{25}$

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Algebra 1 : Whole and Part

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #61 : Whole And Part

Example Question #62 : Whole And Part

Example Question #63 : Whole And Part

Example Question #31 : How To Find The Part From The Whole With Percentage

Example Question #65 : Whole And Part

Example Question #66 : Whole And Part

Example Question #67 : Whole And Part

Example Question #68 : Whole And Part

Example Question #64 : Whole And Part

Example Question #70 : Whole And Part

All Algebra 1 Resources

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