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

Study concepts, example questions & explanations for Algebra 1

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Example Questions

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

70% of a quantity is 35. What is the quantity?

Possible Answers:

Correct answer:

Explanation:

We can write this as an equation:

Example Question #2 : How To Find The Whole From The Part With Percentage

80% of ____ = 72?

Possible Answers:

Correct answer:

Explanation:

Divide by fractions:

 

Example Question #3 : How To Find The Whole From The Part With Percentage

Malcolm spent 15% of his money on a bicycle that costs $300. How many dollars does Malcolm have left?

Possible Answers:

Correct answer:

Explanation:

If $300 was 15% of Malcolm's money, then we can figure out how much money Malcolm had by creating this equation:

In this case, Malcolm had $2,000. Since he spent $300 of it on a bicycle, he has only $1,700 left.

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

If 45 is 15% of , find the value of .

Possible Answers:

Correct answer:

Explanation:

The key to this problem is identifying that "15% of " is the same as . With this information, we can write out the simple equation

Dividing both sides by  gives us

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

 % of what number is 900?

Possible Answers:

Correct answer:

Explanation:

 % of a number, or, equivalently, 1.5% of a number, is the same as 0.015 multiplied by that number. If we call that number , then 

Example Question #6 : How To Find The Whole From The Part With Percentage

Dana spent 24% of her savings on a laptop that costs $900. How much savings does she have left?

Possible Answers:

Correct answer:

Explanation:

We know that prior to her purchase, $900 was 24% of Dana's Savings. Therefore, Dana's total savings prior to her purchase can be modeled as , where is Dana's total savings. Solving for would give you , which indicates that Dana's savings was $3750 prior to her purchase. After her purchase, she will have $2850 left.

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

There are 36 blue marbles in a bag. If blue marbles made up 24% of the marbles in the bag, what is the total number of marbles are in the bag?

Possible Answers:

Correct answer:

Explanation:

If is the total number of marbles in the bag, then , since 24% of marbles in the bag are blue and there are 36 marbles. Solving for this equation will give you , which means there must be a total of 150 marbles in the bag.

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

12% of the students at a certain high school have perfect attendance. If 27 students have perfect attendance, how many total students does the school contain?

Possible Answers:

Correct answer:

Explanation:

From the given information here, we know that 12% of the total number equals 27. Mathematically, if we use  to represent the total that we are looking for, we can write this as 

The next step is dividing both sides by .

so there are 225 students in the school.

Example Question #9 : How To Find The Whole From The Part With Percentage

 is  of what?

Possible Answers:

Correct answer:

Explanation:

To figure out the value, translate the question into an equation, knowing that "is" means equals, and "of" means multiply:

To solve, turn the percentage into a decimal:

now divide both sides by 0.48

Example Question #10 : How To Find The Whole From The Part With Percentage

 is  of what number?

Possible Answers:

Correct answer:

Explanation:

To determine the whole, translate the question into an equation, knowing that "is" means equals and "of" means multiply:

convert the percentage into a decimal:

divide both sides by 1.8

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