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

Study concepts, example questions & explanations for Algebra 1

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Example Questions

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Example Question #3181 : Algebra 1

What number is 25% of 80? 

Possible Answers:

40

20

75

25

24

Correct answer:

20

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

Example Question #3191 : Algebra 1

14% of 50 is _____?

Possible Answers:

Correct answer:

Explanation:

Divide numerator and denominator by 2 and you get , so 7 is 14% of 50.

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:

Correct answer:

Explanation:

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

 

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.

Example Question #31 : Whole And Part

What is 64% of 86?

Possible Answers:

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

So 55 is 64% of 86.

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:

Correct answer:

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 of the house, or 6.25%. Thus, Wendy can clean 25% of the house by herself in 4 hours.

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

What is  of , rounded to the nearest tenth? 

Possible Answers:

Correct answer:

Explanation:

Convert 34% to a decimal: 0.34

Multiply 0.34 by 492: 167.28

Round to the nearest tenth: 167.3

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

Choose the correct answer. 

What is  of 

Possible Answers:

Correct answer:

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,  to . Then multiply the decimal against the whole number,  

Example Question #36 : Whole And Part

Select the correct answer. 

What is  of 

Possible Answers:

Correct answer:

Explanation:

To find the part of the whole, first convert the percentage to a decimal,  to , then multiply the decimal against the whole number given, , resulting in . Alternatively, we know that  is equal to  , so we could divide the whole number, ,  into four equal parts, which would be . Since we need   (three quarters), we multiply  , resulting in 

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

If  of the student body is female, what is the percentage of males? 

Possible Answers:

Correct answer:

Explanation:

If  of the student body is female, this is equivalent to .  Since  is the whole, . Thus  is not female.

Alternatively, if  is not male, then the rest must be male, so  . Then we can convert that decimal to a percentage, 

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