We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

GED Math : Proportions and Percentages

Study concepts, example questions & explanations for GED Math

Create An Account

All GED Math Resources

4 Diagnostic Tests 263 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

← Previous 1 2 3 4 5 6 7 8 9 Next →

Example Question #61 : Proportions And Percentages

Solve the proportion: $\frac{x}{10} = \frac{5}{2x}$

Possible Answers:

$\pm 5$

$\pm 4$

$\pm 2\sqrt5$

$\pm \frac{1}{4}$

$\pm \frac{1}{5}$

Correct answer:

$\pm 5$

Explanation:

Cross multiply the fractions.

x(2x) = 5(10)

2x^2 =50

Divide by two on both sides.

$\frac{2x^2 }{2}=\frac{50}{2}$

x^2 = 25

Square root both sides.

$\sqrt{x^2 }= \sqrt{25}$

$x=\pm 5$

Verify that both the positive and negative roots will satisfy the solution.

The answer is: $\pm 5$

Report an Error

Example Question #62 : Proportions And Percentages

What is 25% of 240?

Possible Answers:

215

Correct answer:

Explanation:

To find a percentage of a whole number, we will multiply the two together. So, we get

$25\% \cdot 240$

$\frac{25}{100} \cdot 240$

$\frac{25}{100} \cdot \frac{240}{1}$

Now, the zero in 100 and the zero in 240 can cancel. We get

$\frac{25}{10} \cdot \frac{24}{1}$

$\frac{25 \cdot 24}{10 \cdot 1}$

$\frac{600}{10}$

$\frac{60}{1}$

Therefore, 25% of 240 is 60.

Report an Error

Example Question #61 : Proportions And Percentages

Solve the proportion: $\frac{3}{x} = \frac{2}{3x+1}$

Possible Answers:

$\frac{5}{8}$

$\frac{3}{7}$

$-\frac{3}{7}$

$\frac{1}{9}$

$\frac{3}{2}$

Correct answer:

$-\frac{3}{7}$

Explanation:

Cross multiply the two fractions.

3(3x+1) = 2x

Distribute the terms on the left.

9x+3 = 2x

Subtract from both sides.

9x+3-9x= 2x-9x

3=-7x

Divide by negative seven on both sides.

$\frac{3}{-7}=\frac{-7x}{-7}$

The answer is: $-\frac{3}{7}$

Report an Error

Example Question #64 : Proportions And Percentages

Solve the proportion: $\frac{5x}{2} = \frac{4x-1}{3}$

Possible Answers:

$-\frac{2}{21}$

$-\frac{2}{7}$

$\frac{2}{23}$

$-\frac{2}{23}$

$\frac{2}{7}$

Correct answer:

$-\frac{2}{7}$

Explanation:

Cross multiply the two fractions.

5x(3) = 2(4x-1)

Expand both sides.

15x = 8x-2

Subtract on both sides.

15x-8x= 8x-2-8x

7x = -2

Divide by seven on both sides.

$\frac{7x }{7}=\frac{ -2}{7}$

The answer is: $-\frac{2}{7}$

Report an Error

Example Question #65 : Proportions And Percentages

Solve the proportion: $\frac{x+3}{2} = \frac{2x-9}{3}$

Possible Answers:

Correct answer:

Explanation:

Cross multiply the fractions.

3(x+3) = 2(2x-9)

3x+9 = 4x-18

Subtract from both sides.

3x+9 -3x= 4x-18-3x

9= x-18

Add 18 on both sides.

9+18= x-18+18

27 =x

The answer is:

Report an Error

Example Question #66 : Proportions And Percentages

Solve the proportion: $\frac{2x-6}{5} = \frac{2}{3}$

Possible Answers:

$-\frac{14}{3}$

$-\frac{3}{4}$

$\frac{3}{4}$

$-\frac{4}{3}$

$\frac{14}{3}$

Correct answer:

$\frac{14}{3}$

Explanation:

Cross multiply the two fractions.

3(2x-6) = 2(5)

Expand both sides.

6x-18 = 10

Add 18 on both sides.

6x-18 +18= 10+18

6x = 28

Divide by 6 on both sides.

$\frac{6x }{6}= \frac{28}{6}$

Reduce both fractions.

The answer is: $\frac{14}{3}$

Report an Error

Example Question #67 : Proportions And Percentages

On a map, the scale indicates that $1\text{ inch}=15.5\text{ miles}$ . If the distance between two cities is $16.5\text{ inches}$ on the map, how many miles apart are the two cities?

Possible Answers:

290.75

102.125

205.25

255.75

Correct answer:

255.75

Explanation:

From the given information, we can set up the following ratio:

$\frac{1\text{ inch}}{15.5\text{ miles}}=\frac{16.5\text{ inches}}{x\text{ miles}}$ , where is the distance between the two cities.

Now, cross-multiply to solve for .

x=255.75

The two cities are 255.75 miles apart.

Report an Error

Example Question #68 : Proportions And Percentages

Solve the proportion: $\frac{2x+3}{5} = \frac{8}{7}$

Possible Answers:

$\frac{37}{17}$

$\frac{25}{14}$

$\frac{19}{14}$

$\frac{25}{4}$

$\frac{61}{14}$

Correct answer:

$\frac{19}{14}$

Explanation:

Cross multiply both fractions.

7(2x+3) = 40

Distribute the left side.

14x+21 = 40

Subtract 21 from both sides.

14x+21-21 = 40-21

14x =19

Divide by 14 on both sides.

$\frac{14x}{14} =\frac{19}{14}$

The answer is: $\frac{19}{14}$

Report an Error

Example Question #69 : Proportions And Percentages

What is 18% of $50 ?

Possible Answers:

$\$9$

$\$20$

$\$13$

$\$8$

$\$18$

Correct answer:

$\$9$

Explanation:

To find a percentage of a whole number, we will multiply the two together. So, we get

$18\% \cdot \$50$

$\frac{18}{100} \cdot \$50$

$\frac{18}{100} \cdot \frac{\$50}{1}$

The zero in 100 and the zero in 50 can cancel. We get

$\frac{18}{10} \cdot \frac{\$5}{1}$

$\frac{18 \cdot \$5}{10 \cdot 1}$

$\frac{\$90}{10}$

$\frac{\$9}{1}$

$\$9$

Therefore, 18% of $50 is $9.

Report an Error

Example Question #70 : Proportions And Percentages

Solve: $\frac{2}{x} = \frac{8}{9}$

Possible Answers:

$\frac{4}{9}$

$\frac{8}{11}$

$\frac{11}{8}$

$\frac{16}{9}$

$\frac{9}{4}$

Correct answer:

$\frac{9}{4}$

Explanation:

Cross multiply the two fractions.

2(9) =8x

18 = 8x

Divide by 8 on both sides.

$\frac{18 }{8}= \frac{8x}{8}$

Reduce the fractions.

The answer is: $\frac{9}{4}$

Report an Error

← Previous 1 2 3 4 5 6 7 8 9 Next →

View Tutors

Eklavya
Certified Tutor

Indira Gandhi National Open University, Bachelor, Physics.

View Tutors

Dawn
Certified Tutor

University of Oregon, Bachelor in Arts, Biochemistry and Molecular Biology. Johns Hopkins University, Doctor of Philosophy, E...

View Tutors

Alison
Certified Tutor

University of Illinois at Urbana-Champaign, Bachelor of Science, Accounting.

All GED Math Resources

4 Diagnostic Tests 263 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

SAT Tutors in Denver, Reading Tutors in Denver, Algebra Tutors in Philadelphia, Computer Science Tutors in Denver, Chemistry Tutors in Miami, Computer Science Tutors in Philadelphia, Calculus Tutors in Houston, SSAT Tutors in Atlanta, Statistics Tutors in New York City, French Tutors in San Francisco-Bay Area

Popular Courses & Classes

GMAT Courses & Classes in Los Angeles, GRE Courses & Classes in Atlanta, SSAT Courses & Classes in San Diego, GRE Courses & Classes in Houston, GRE Courses & Classes in New York City, ISEE Courses & Classes in Seattle, MCAT Courses & Classes in Houston, MCAT Courses & Classes in Boston, MCAT Courses & Classes in Seattle, GMAT Courses & Classes in Denver

Popular Test Prep

ISEE Test Prep in Seattle, LSAT Test Prep in Chicago, SAT Test Prep in San Diego, GRE Test Prep in Houston, GRE Test Prep in Los Angeles, SAT Test Prep in Seattle, MCAT Test Prep in Los Angeles, SSAT Test Prep in Chicago, SSAT Test Prep in Dallas Fort Worth, GMAT Test Prep in New York City

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

GED Math : Proportions and Percentages

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #61 : Proportions And Percentages

Example Question #62 : Proportions And Percentages

Example Question #61 : Proportions And Percentages

Example Question #64 : Proportions And Percentages

Example Question #65 : Proportions And Percentages

Example Question #66 : Proportions And Percentages

Example Question #67 : Proportions And Percentages

Example Question #68 : Proportions And Percentages

Example Question #69 : Proportions And Percentages

Example Question #70 : Proportions And Percentages

All GED Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: