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

Example Question #1 : Proportions And Percentages

At a party, there are 7 women with blonde hair, 9 women with brown hair, and 5 women with red hair. What is the proportion of women with blonde hair?

Possible Answers:

$\small \frac{1}{2}$

$\small \frac{7}{5}$

$\small \frac{1}{3}$

$\small \frac{7}{9}$

Correct answer:

$\small \frac{1}{3}$

Explanation:

A proprotion is the number of a specific event (blonde women) divided by the total number of events (total number of women).

$\small \frac{7}{7+9+5}=\frac{7}{21}=\frac{1}{3}$

Report an Error

Example Question #1 : Proportions And Percentages

Solve:

$14\%\ of\ 52=$

Possible Answers:

45.61

59.28

371.43

7.28

Correct answer:

7.28

Explanation:

$\small 14\%\ of \ 52=0.14\times 52=7.28$

Report an Error

Example Question #2 : Proportions And Percentages

Solve:

$\small 23\%\ of\ 73=$

Possible Answers:

$\small 59.3$

$\small 96$

$\small 16.8$

$\small 317.4$

Correct answer:

$\small 16.8$

Explanation:

$\small 23\%\ of\ 73=0.23\times73=16.8$

Report an Error

Example Question #1 : Proportions And Percentages

A bag contains $\small 7$ green marbles, $\small 2$ red marbles, and $\small 5$ blue marbles. What is the proportion of red marbles?

Possible Answers:

$\small \frac{2}{5}$

$\small \frac{2}{7}$

$\small \frac{1}{7}$

$\small \frac{1}{6}$

Correct answer:

$\small \frac{1}{7}$

Explanation:

The proportion is equal to the number of specific events (red marbles) divided by the total number of events (sum of all colors).

$\small P=\frac{2}{7+2+5}=\frac{2}{14}=\frac{1}{7}$

Report an Error

Example Question #4 : Proportions And Percentages

What is $17\%$ of ?

Possible Answers:

4.9

170.6

33.9

199.6

Correct answer:

4.9

Explanation:

$17\%\ of\ 29=0.17\times 29=4.9$

Report an Error

Example Question #362 : Numbers And Operations

Sherry deposits $3,000 at 6% simple interest per year. How much will she have in this account after three years, assuming she does not make any withdrawals or deposits?

Possible Answers:

$\$3,054$

$\$3,540$

$\$3,018$

$\$3,180$

Correct answer:

$\$3,540$

Explanation:

Use the simple interest formula

I = Prt

with P = 3,000, r = 0.06, t = 3 :

$I = \$ 3,000 \cdot 0.06 \cdot 3 = \$540$

This is the simple interest earned. Add it to the original principal:

$\$ 3,000+\$540 = \$3,540$

Report an Error

Example Question #3 : Proportions And Percentages

The ratio of students to instructors at a prestigious law school is 15:4. If the school employs 120 instructors, then how many students total must it limit itself to enrolling in order to maintain this student-instructor ratio?

Possible Answers:

720

540

630

450

Correct answer:

450

Explanation:

Let be the maximum number of students admitted.

For the school to maintain a 15:4 student-teacher ratio with 120 instructors, the ratios $\frac{N}{120}$ and $\frac{15}{4}$ must be equal. Therefore, we solve the proportion statement for :

$\frac{N}{120} = \frac{15}{4}$

$\frac{N}{120} \cdot 120= \frac{15}{4} \cdot 120$

$N = \frac{1,800}{4} = 450$

The maximum number of students it can admit is 450.

Report an Error

Example Question #6 : Proportions And Percentages

The ratio of students to instructors at a prestigious medical school is 25:6. The school employs 90 instructors, and there will be 240 students returning. How many new students must it limit itself to admitting in order to continue to maintain this student-instructor ratio?

Possible Answers:

135

325

255

375

Correct answer:

135

Explanation:

Let be the maximum number of students admitted overall.

For the school to maintain a 25:6 student-teacher ratio with 90 instructors, the ratios $\frac{N}{90}$ and $\frac{25}{6}$ must be equal. Therefore, we solve the proportion statement for :

$\frac{N}{90} = \frac{25}{6}$

$\frac{N}{90} \cdot 90= \frac{25}{6} \cdot 90$

$N= \frac{2,250}{6} = 375$

Since 240 spots are already filled by returning students, the medical school can admit up to 375 - 240 = 135 new students.

Report an Error

Example Question #4 : Proportions And Percentages

Which of the following statements follows from the statement 8A = 9B ?

Possible Answers:

$\frac{8}{B} = \frac{9}{A}$

$\frac{8}{B} = \frac{A}{9}$

$\frac{8}{A} = \frac{9}{B}$

$\frac{8}{A} = \frac{B}{9}$

Correct answer:

$\frac{8}{B} = \frac{9}{A}$

Explanation:

Two ratios are equivalent if and only if their cross-products are equal. We look for the proportion statement whose cross-products are and . Of the four choices, only $\frac{8}{B} = \frac{9}{A}$ fits this criterion, so it is the correct choice.

Report an Error

Example Question #1 : Proportions And Percentages

Which of the following statements does not follow from the statement $\frac{X}{5} = \frac{Y }{7}$ ?

Possible Answers:

$\frac{5}{X} = \frac{7}{Y }$

$\frac{X+5}{5} = \frac{Y+7 }{7}$

5Y = 7X

$\frac{7}{5} = \frac{X }{Y}$

Correct answer:

$\frac{7}{5} = \frac{X }{Y}$

Explanation:

From $\frac{X}{5} = \frac{Y }{7}$ we can conclude the following:

5Y = 7X is true, because the cross-products of a proportion statement are true.

$\frac{5}{X} = \frac{7}{Y }$ is true, because if two ratios are equivalent, their reciprocals are equivalent.

$\frac{X+5}{5} = \frac{Y+7 }{7}$ can be demonstrated to be true as follows:

$\frac{X}{5} = \frac{Y }{7}$

$\frac{X}{5} + 1= \frac{Y }{7} + 1$

$\frac{X}{5} +\frac{5}{5} = \frac{Y }{7} + \frac{7}{7}$

$\frac{X+5}{5} = \frac{Y+7 }{7}$

The fourth statement is false:

$\frac{X}{5} = \frac{Y }{7}$

$\frac{X}{5} \cdot \frac{5}{Y} = \frac{Y }{7}\cdot \frac{5}{Y}$

$\frac{X }{Y} = \frac{5} {7}$ , which contradicts the statement that $\frac{7}{5} = \frac{X }{Y}$ .

Report an Error

View Tutors

Artinese
Certified Tutor

University of Maine, Bachelor in Arts, Criminal Justice.

View Tutors

Jimmie
Certified Tutor

Grand Canyon University, Masters in Education, Education.

View Tutors

Rachel
Certified Tutor

Grand Canyon University, Bachelor of Science, Mathematics Teacher Education. Grand Canyon University, Master of Science, Addi...

All GED Math Resources

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

Popular Subjects

Algebra Tutors in San Francisco-Bay Area, Chemistry Tutors in New York City, Chemistry Tutors in San Diego, GMAT Tutors in Denver, Statistics Tutors in Denver, Statistics Tutors in Houston, Calculus Tutors in San Diego, Computer Science Tutors in Philadelphia, English Tutors in Atlanta, Spanish Tutors in Seattle

Popular Courses & Classes

SSAT Courses & Classes in Philadelphia, SAT Courses & Classes in Phoenix, GRE Courses & Classes in Dallas Fort Worth, MCAT Courses & Classes in Miami, GRE Courses & Classes in Washington DC, GRE Courses & Classes in Denver, Spanish Courses & Classes in Los Angeles, Spanish Courses & Classes in San Francisco-Bay Area, Spanish Courses & Classes in Denver, ISEE Courses & Classes in Chicago

Popular Test Prep

SAT Test Prep in Boston, ACT Test Prep in Philadelphia, GRE Test Prep in Seattle, LSAT Test Prep in Denver, ACT Test Prep in Washington DC, MCAT Test Prep in New York City, SSAT Test Prep in Washington DC, GRE Test Prep in Miami, SAT Test Prep in Seattle, GRE Test Prep in Dallas Fort Worth

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 #1 : Proportions And Percentages

Example Question #1 : Proportions And Percentages

Example Question #2 : Proportions And Percentages

Example Question #1 : Proportions And Percentages

Example Question #4 : Proportions And Percentages

Example Question #362 : Numbers And Operations

Example Question #3 : Proportions And Percentages

Example Question #6 : Proportions And Percentages

Example Question #4 : Proportions And Percentages

Example Question #1 : 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: