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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 #4 : How To Find The Part From The Whole With Percentage

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 #5 : How To Find The Part From The Whole With Percentage

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 #31 : Whole And Part

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 #7 : How To Find The Part From The Whole With Percentage

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

Possible Answers:

93.4

49.2

167.3

16728

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 #8 : How To Find The Part From The Whole With Percentage

Choose the correct answer.

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

Possible Answers:

$\small 30$

$\small 35$

$0\small .70$

$\small 300$

$0\small .30$

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 #7 : How To Find The Part From The Whole With Percentage

Select the correct answer.

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

Possible Answers:

350

$\small 100$

$\small 150$

$0\small .15\%$

$\small 1500$

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 #8 : 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:

$\small 30.4\%$

$0\small .15\%$

$\small 69.4\%$

$\small 14$

$\small 69.6\%$

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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Example Question #11 : How To Find The Part From The Whole With Percentage

What is $30\%$ of 120 ?

Possible Answers:

Correct answer:

Explanation:

To find 30 percent of a number, we have to first convert the percentage into a decimal. We can do this by dividing the percentage by one hundred.

Doing so we get,

$\frac{30\%}{100}=0.30$

Now we will multiply 120 number by 0.30.

$120\cdot (0.30)=36$

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Example Question #12 : How To Find The Part From The Whole With Percentage

What is $60\%$ of 300 ?

Possible Answers:

200

180

130

150

Correct answer:

180

Explanation:

To find 60 percent of something, we first need to convert 60 percent into a decimal. We do this by dividing 60 percent by one hundred.

This results in the decimal,

$\frac{60\%}{100}=0.60$

Now we will mutiply 300 by 0.60.

$300\cdot (0.60)=180$

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Example Question #13 : How To Find The Part From The Whole With Percentage

Possible Answers:

$\small 47\%$

$\small 147$

$\small 209$

23.4

$\small 21\%$

Correct answer:

$\small 147$

Explanation:

Granada High School has a graduating class of 700 seniors. If $\small 20\%$ of the high school graduates scored above an $\small 80\%$ on their final exam, and $\small 59\%$ of the graduated scored above a $\small 60\%$ , how many students scored $\small 59\%$ or less on their final?

First, we must find the percentage of seniors that scored below a $\small 59\%$ . To do this we subtract the $\small 20\%$ and $\small 59\%$ of students who scored $\small 60\%$ and above from $\small 100\%$ . This leaves us with a remaining $\small 21\%$ of graduates who did not score above a $\small 59\%.$ Next, we find out exactly how many students equal $\small 21\%$ of the graduating class. To do this we multiply the percentage in decimal form, $0\small .21$ , against the total number of students, $\small 700$ .

So $0\small \small .21\times700 =147$ .

So, $\small 147$ of the graduating class did not score above a $\small 60\%.$

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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 #4 : How To Find The Part From The Whole With Percentage

Example Question #5 : How To Find The Part From The Whole With Percentage

Example Question #31 : Whole And Part

Example Question #7 : How To Find The Part From The Whole With Percentage

Example Question #8 : How To Find The Part From The Whole With Percentage

Example Question #7 : How To Find The Part From The Whole With Percentage

Example Question #8 : How To Find The Part From The Whole With Percentage

Example Question #11 : How To Find The Part From The Whole With Percentage

Example Question #12 : How To Find The Part From The Whole With Percentage

Example Question #13 : How To Find The Part From The Whole With Percentage

All Algebra 1 Resources

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