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

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Example Question #3181 : Algebra 1

What number is 25% of 80?

Possible Answers:

Correct answer:

Explanation:

To solve this problem, we set up a proportion. We are looking for the number which is 25% of 80, thus we set up 25/100 = x/80. We set up this proportion so that the "wholes" are on the same side of the fraction. Then we simplify the left side (since 25/100 = 1/4) to make our arithmetic a bit easier. We now have 1/4 = x/80. Cross multiplying, we get 80 = 4x. Dividing both sides by 4, we get x = 20.

25% = 25/100

$\frac{25}{100}=\frac{x}{80}$

$\frac{1}{4}=\frac{x}{80}$

(1)(80) = (4)(x)

$\frac{80}{4}=\frac{4x}{4}$

20=x

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Example Question #3191 : Algebra 1

14% of 50 is _____?

Possible Answers:

Correct answer:

Explanation:

$14\%=\frac{14}{100}$

Divide numerator and denominator by 2 and you get $\frac{7}{50}$ , so 7 is 14% of 50.

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Example Question #3191 : Algebra 1

Julie made 500 handbags last year. She gave 15 away and sold 185. What percentage of the 500 handbags crafted does she still have in her inventory?

Possible Answers:

$45\%$

$60\%$

$55\%$

$50\%$

$40\%$

Correct answer:

$60\%$

Explanation:

Inventory = 500-15-185=300

$Percentage=\frac{300}{500}=.6=60\%$

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Example Question #31 : Whole And Part

What is 35% of 200?

Possible Answers:

Correct answer:

Explanation:

To find 35% of 200, we just need to multiply

(200)(0.35)

This gives us our answer, 70. Alternatively, we could realize instinctively that 35% of 100 is 35, and then double it to get the same answer.

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Example Question #31 : Whole And Part

What is 64% of 86?

Possible Answers:

112

Correct answer:

Explanation:

First, write 64% as a decimal. Just move the decimal point of 64% two digits to the left and then eliminate the % so that we get 0.64. Thus, 64%=0.64. Then multiply that 0.64 by 86

$0.64\times 86=55$

So 55 is 64% of 86.

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

Wendy and Bob are cleaning their house at the same speed. Working together, they can clean the house in 8 hours. What percentage of the house can Wendy clean in 4 hours if she is cleaning by herself?

Possible Answers:

25%

Correct answer:

25%

Explanation:

It takes Bob and Wendy 8 hours to clean the entire house, for a total of 16 man-hours. This means that one hour of cleaning by one person will clean $\frac{1}{16}$ of the house, or 6.25%. Thus, Wendy can clean 25% of the house by herself in 4 hours.

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

What is $34\%$ of 492 , rounded to the nearest tenth?

Possible Answers:

93.4

167.3

16728

49.2

Correct answer:

167.3

Explanation:

Convert 34% to a decimal: 0.34

Multiply 0.34 by 492: 167.28

Round to the nearest tenth: 167.3

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

Choose the correct answer.

What is $\small 30\%$ of $\small 100$ .

Possible Answers:

$0\small .70$

$\small 30$

$\small 300$

$0\small .30$

$\small 35$

Correct answer:

$\small 30$

Explanation:

To find a part of the whole number, you multiply the percentage in decimal form against the whole number. The first step is to convert the percentage into a decimal, $\small 30\%$ to $0\small .30$ . Then multiply the decimal against the whole number, $0\small .30\times100 = 30$ .

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Example Question #36 : Whole And Part

Select the correct answer.

What is $\small 75\%$ of $\small 200$ .

Possible Answers:

$0\small .15\%$

$\small 100$

$\small 150$

$\small 1500$

350

Correct answer:

$\small 150$

Explanation:

To find the part of the whole, first convert the percentage to a decimal, $\small 75\%$ to $0\small .75$ , then multiply the decimal against the whole number given, $0\small .75\times 200$ , resulting in $\small 150$ . Alternatively, we know that $\small 75\%$ is equal to $\small \frac{3}{4}$ , so we could divide the whole number, $\small 200$ , into four equal parts, which would be $\small 50$ . Since we need $\small \frac{3}{4}$ (three quarters), we multiply $\small 50$ $\small \times4$ , resulting in $\small 150$ .

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

If $0\small .304$ of the student body is female, what is the percentage of males?

Possible Answers:

$\small 69.4\%$

$\small 30.4\%$

$0\small .15\%$

$\small 69.6\%$

$\small 14$

Correct answer:

$\small 69.6\%$

Explanation:

If $0\small .304$ of the student body is female, this is equivalent to $\small 30.4\%$ . Since $\small 100\%$ is the whole, $\small 100\% - 30.4\% = 69.6\%$ . Thus $\small 69.6\%$ is not female.

Alternatively, if $0\small .304$ is not male, then the rest must be male, so $\small 1 - 0.304 =$ $\small 0.696$ . Then we can convert that decimal to a percentage, $\small 69.4\%$ .

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

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #3181 : Algebra 1

Example Question #3191 : Algebra 1

Example Question #3191 : Algebra 1

Example Question #31 : Whole And Part

Example Question #31 : Whole And Part

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

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

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

Example Question #36 : Whole And Part

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

All Algebra 1 Resources

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