Algebra 1 : Whole and Part

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #51 : Whole And Part

Find 12% of 76.

Possible Answers:

15.6

156

10

64

9.12

Correct answer:

9.12

Explanation:

To find a percentage of a whole, we simply multiply the percentage and the whole number together.  So,

12% of 76

can be written as

If we multiply this out, we get 9.12.

Therefore, 12% of 76 is 9.12.

Example Question #52 : Whole And Part

What is  of ?

Possible Answers:

Correct answer:

Explanation:

Write  as a fraction.

Multiply this fraction by ten.

Reduce this fraction by finding its multiples.

The answer is .

Example Question #53 : Whole And Part

What is  of twenty five?

Possible Answers:

Correct answer:

Explanation:

Convert the percentage into a decimal by moving the decimal place back two spaces.

This number is also recognized as .

Multiply this number with twenty five.

The answer is:  

Example Question #54 : Whole And Part

What is ten percent of twenty?

Possible Answers:

Correct answer:

Explanation:

Ten percent is ten out of 100 parts.

This fraction can be reduced to .

Multipy this fraction with twenty.

The answer is:  

Example Question #55 : Whole And Part

The graduation rate among seniors at a local high school is  . If there are 545 seniors, how many of  them will not graduate?

Possible Answers:

Correct answer:

Explanation:

The graduation rate among seniors at a local high school is  . If there are 545 seniors, how many of  them will not graduate?

To answer this question, we need to be careful how we set it up, and careful that we answer the correct question.

We need to find the number of senior who will not graduate. Not the number who will.

To do so, we can first find the percentage who will not graduate. This will be:

Next, change our percent to a decimal:

Finally, multiply our total number of seniors by the decimal we just got to get:

So our answer is 65.

Example Question #55 : Whole And Part

The graduation rate among seniors at a local high school is  . If there are 545 seniors, how many of  them will not graduate?

Possible Answers:

Correct answer:

Explanation:

The graduation rate among seniors at a local high school is  . If there are 545 seniors, how many of  them will not graduate?

To answer this question, we need to be careful how we set it up, and careful that we answer the correct question.

We need to find the number of senior who will not graduate. Not the number who will.

To do so, we can first find the percentage who will not graduate. This will be:

Next, change our percent to a decimal:

Finally, multiply our total number of seniors by the decimal we just got to get:

So our answer is 65.

Example Question #56 : Whole And Part

What is 40 percent of 800?

Possible Answers:

Correct answer:

Explanation:

A percentage is a value over 100 parts.  

Forty percent is:  

Multiply this fraction with 800.

Reduce the fraction.  

Forty percent of 800 is 320.

The answer is:  

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

What is ten percent of three?

Possible Answers:

Correct answer:

Explanation:

Ten percent is ten out of 100 parts.

Reduce the fraction to .

Multipy this fraction with three.

The answer is:  

Example Question #32 : How To Find The Part From The Whole With Percentage

What is 13% of 96 ?

Possible Answers:

Correct answer:

Explanation:

To find a percentage of a whole, we simply take the percentage and multiply it by the whole number.  In other words

Therefore, 13% of 96 is 12.48.

Example Question #33 : How To Find The Part From The Whole With Percentage

What percentage of  is ?

Possible Answers:

Correct answer:

Explanation:

Set up the equation such that a percentage of  is .

A percentage is some number out of .

Multiply  on both sides to eliminate the denominator.

Divide by four on both sides.

Simplify both sides. The answer is,

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