We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

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

Study concepts, example questions & explanations for Algebra 1

Create An Account

All Algebra 1 Resources

10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

← Previous 1 2 3 Next →

Example Question #11 : Whole And Part

250 is $80\%$ of what number?

Possible Answers:

200

312.5

2000

425.2

357.14

Correct answer:

312.5

Explanation:

To find the whole from the part given a percentage, we divide our known part by the decimal equivalent of the percentage, which we find by dividing the percentage by one-hundred:

$80\% \div 100 = .80$

$.80 \div 250 = 312.5$

Therefore, 250 is $80\%$ of 312.5

Report an Error

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

If $33\%$ of the students in Mrs. Roger's 5th grade class received an "A" on the math test, and the number of students who received an "A" was 12, how many students are there in Mrs. Roger's 5th grade class? Round to the nearest student.

Possible Answers:

$36\: students$

$37 \:students$

$4\: students$

$48\: students$

Correct answer:

$36\: students$

Explanation:

If $33\%$ of the students in Mrs. Roger's 5th grade class received an "A" on the math test, and the number of students who received an "A" was , how many students are there in Mrs. Roger's 5th grade class? Round to the nearest student.

This is question is asking us to find the whole from a percentage and a part. We know that students make up $33\%$ of the whole class. We need to find the total number of students in the class. The trickiest part of this is the setup.

We can start by thinking of it like so

12=.33W

Meaning that $33\%$ of the whole (W) is equal to .

Then we use some basic rearranging to divide both sides by

$W=\frac{12}{.33}=36.\bar{36}=36\: students$

So there are students in the class.

Note, there cannot be students, because we must round down. is not or greater, so we cannot round up to .

Report an Error

Example Question #13 : Whole And Part

$40\%$ of the eggs gathered in the hen house were brown and there were of them. How many eggs in total were gathered?

Possible Answers:

Correct answer:

Explanation:

Since eggs account for $40\%$ of the total batch, we can determine the total number of eggs as such:

$28\,eggs\cdot\frac{100\%}{40\%}=28\,eggs\cdot2.5=70\,eggs$

Report an Error

Example Question #14 : Whole And Part

For helping run the snack bar Rodney was paid $15\%$ of total earnings for the day. If Rodney was paid $\$37.50$ , what was the total earnings for the snack bar?

Possible Answers:

$\$300$

$\$225$

$\$250$

$\$200$

$\$275$

Correct answer:

$\$250$

Explanation:

Dividing $15\%$ of the total earnings by $15\%$ will determine the total amount of money earned:

$\$37.50\cdot\frac{100\%}{15\%}=\$37.50\cdot6.67=\$250$

Report an Error

Example Question #15 : Whole And Part

Todd has paid for $45\%$ of the semester's tuition at the University of Alaska. If Todd still owes $\$4,500$ , what is the total cost of the semester's tuition? Round to the nearest dollar.

Possible Answers:

$\$6,664$

$\$7947$

$\$8632$

$\$8,182$

$\$7,768$

Correct answer:

$\$8,182$

Explanation:

If Todd has already paid $45\%$ of his tuition, then he still owes $55\%$ of the total cost. $\$4,500$ is $55\%$ of the total cost of tuition, which we can use to calculate the full cost:

$\frac{100\%}{55\%}\cdot\$4,500=\$8,182$

Report an Error

Example Question #16 : Whole And Part

Oscar must pay $25\%$ of his annual income in back taxes. The amount taken from Oscar's monthly salary totals $722.85. How much does Oscar make annually before pay deductions?

Possible Answers:

$\$34696.80$

$\$30,734.40$

$\$8674.20$

$\$52545.80$

$\$18071.25$

Correct answer:

$\$34696.80$

Explanation:

First of all, it should be understood that since $25\%$ of Oscar's annual earnings are taken, than $25\%$ of his monthly salary is also taken. By that reasoning, $\$722.85$ is $25\%$ of Oscar's monthly salary, which we can then use to determine his annual earnings:

$\frac{\$722.85}{1month} \cdot\frac{100\%}{25\%}=\frac{\$2,891.40}{1month}$

$\frac{\$2,891.40}{1 month}\cdot\frac{12 months}{1 year}=\frac{\$34696.80}{1year}$

Report an Error

Example Question #17 : Whole And Part

Charlie paid the monthly rent for his Manhattan penthouse of $\frac{\$6325}{month}$ . If the cost of rent accounts for 62% of Charlie's income, how much does he make annually?

Possible Answers:

$\$10201.61$

$\$84565.20$

$\$122419.35$

$\$152862.50$

$\$47058.00$

Correct answer:

$\$122419.35$

Explanation:

We can determine Charlie's monthly earnings given the amount he spends in rent and the percent of his income that it consumes:

$\frac{\$6325}{1 month}\cdot\frac{100\%}{62\%}=\frac{\$10201.61}{month}$

With this value we can now determine Charlie's annual income:

$\frac{\$10201.61}{month}\cdot\frac{12 months}{1 year}=\frac{\$122419.35}{year}$

Report an Error

Example Question #18 : Whole And Part

30% of what number is 6?

Possible Answers:

186

180

Correct answer:

Explanation:

When we don't know the value of a number, we assign it a variable. In this case,

30% of what number is 6

can be written as

30% of x is 6

Now, we will write 30% as a decimal. We get

0.3 of x is 6

We know when we see "is" that means equals. So,

0.3 of x = 6

We also know when we are finding percentages of numbers, we multiply. So,

$0.3 \cdot x = 6$

Now, we solve for x. We divide both sides by 0.3. We get

$\frac{0.3 \cdot x}{0.3} = \frac{6}{0.3}$

x = 20

Therefore, 30% of 20 is 6.

Report an Error

Example Question #19 : Whole And Part

You are given an allowance and told by your parents that since times are tough they are cutting your allowance and you will only be getting $85\%$ of your normal allowance. Your mother then hands you $\$20$ . How much money were you getting before your pay cut?

Possible Answers:

$\$23.50$

$\$21$

$\$17$

$\$25$

Correct answer:

$\$23.50$

Explanation:

You are getting $85\%$ of the total value you once received, which is $\$20$ . This looks like

$\frac{\$20}{?}=\frac{85}{100}=85\%$

Or, using the decimal equivalent,

$0.85\times x=\$20$

where is the total amount we are looking for. You can divide both sides by 0.85 to solve for ,

$\frac{(0.85\times x)}{0.85}=\frac{\$20}{0.85}$

$x=\frac{\$20}{0.85}=\$23.50$

Report an Error

Example Question #20 : Whole And Part

One percent of a number is two. What is that number?

Possible Answers:

200

100

2000

Correct answer:

200

Explanation:

One percent is one out of 100 parts. Write the fraction conversion of the percent.

$1\% = \frac{1}{100}$

This value times a number is equal to two. Write the equation to express this.

$\frac{1}{100}x = 2$

To solve for , multiply by 100 on both sides.

$\frac{1}{100}x \cdot100= 2\cdot100$

Simplify both sides.

x=200

Report an Error

← Previous 1 2 3 Next →

View Algebra Tutors

Zhi Xuan
Certified Tutor

Queen's University, Bachelor, Engineering .

View Algebra Tutors

Cameron L.
Certified Tutor

Purdue University-Main Campus, Bachelor of Science, Accounting and Business Management. Purdue University-Main Campus, Master...

View Algebra Tutors

Eva
Certified Tutor

DePaul University, Bachelor in Arts, Neuroscience.

All Algebra 1 Resources

10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

English Tutors in Los Angeles, GMAT Tutors in Phoenix, Reading Tutors in Seattle, Algebra Tutors in Seattle, SSAT Tutors in Dallas Fort Worth, Computer Science Tutors in Denver, MCAT Tutors in Seattle, ISEE Tutors in Philadelphia, Math Tutors in San Francisco-Bay Area, GRE Tutors in Denver

Popular Courses & Classes

SSAT Courses & Classes in Seattle, SAT Courses & Classes in Chicago, Spanish Courses & Classes in Denver, ISEE Courses & Classes in Houston, SSAT Courses & Classes in San Francisco-Bay Area, Spanish Courses & Classes in Houston, ISEE Courses & Classes in Los Angeles, GMAT Courses & Classes in Los Angeles, SSAT Courses & Classes in Miami, Spanish Courses & Classes in San Francisco-Bay Area

Popular Test Prep

SAT Test Prep in Atlanta, SAT Test Prep in Houston, LSAT Test Prep in Seattle, LSAT Test Prep in Los Angeles, GRE Test Prep in Atlanta, ACT Test Prep in Atlanta, LSAT Test Prep in Washington DC, LSAT Test Prep in Dallas Fort Worth, SAT Test Prep in Phoenix, ISEE Test Prep in Houston

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

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

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #11 : Whole And Part

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

Example Question #13 : Whole And Part

Example Question #14 : Whole And Part

Example Question #15 : Whole And Part

Example Question #16 : Whole And Part

Example Question #17 : Whole And Part

Example Question #18 : Whole And Part

Example Question #19 : Whole And Part

Example Question #20 : Whole And Part

All Algebra 1 Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: