Call Now to Set Up Tutoring:

(888) 888-0446

Algebra 1 : Percents

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

Example Question #1 : Percents

45 is what percent of 75?

Possible Answers:

$45\%$

$167\%$

$6\%$

$60\%$

$67\%$

Correct answer:

$60\%$

Explanation:

Let equal the decimal value of our answer. We can set up the following equation.

75x = 45 (i.e. 75 times what percent equals 45?)

Divide both sides by 75.

$x= \frac{45}{75}=0.6$

Multiply by 100 to get the percentage value of the decimal.

x * 100 = 0.6*100=60 %

Report an Error

Example Question #1 : Percents

In a bag of marbles, Barry has 20 green ones and 40 red ones. If he adds 7 green and 9 red, what percentage (to the nearest hundreth) of the marbles will be green?

Possible Answers:

0.36%

33.33%

35.52%

0.33%

35.53%

Correct answer:

35.53%

Explanation:

First, you need to add in the marbles. This will give you 27 green and 49 red. The total number of marbles in the bag are 76. To find the percentage of green marbles, all you need to do is divide 27 by 76, which gives you 0.35526315789474 or 35.526315789474%. Rounding to the nearest percent, you get 35.53%.

Report an Error

Example Question #2 : Percents

Let be a positive real number. In terms of , what percent of is 20?

Possible Answers:

$\frac{5,000}{N}$ %

$\frac{20}{N}$ %

$\frac{2,000}{N}$ %

$\frac{50}{N}$ %

Correct answer:

$\frac{2,000}{N}$ %

Explanation:

Set up a proportion statement.

$\frac{P}{100} = \frac{20}{N}$

Solve for :

$\frac{P}{100} \cdot 100 = \frac{20}{N}\cdot 100$

$P = \frac{2,000}{N}$

Report an Error

Example Question #1 : Percents

Let be a positive real number. In terms of , what percent of 25 is ?

Possible Answers:

$\frac{5N}{4}$ %

$\frac{N}{4}$ %

$\frac{2N}{5}$ %

$\frac{5N}{2}$ %

Correct answer:

Explanation:

Set up a proportion statement.

$\frac{P}{100} = \frac{N}{25}$

Solve for :

$\frac{P}{100} \cdot 100 = \frac{N}{25}\cdot 100$

P = 4N

Report an Error

Example Question #1 : Percents

Let be a positive real number. In terms of , what percent of is 50?

Possible Answers:

$\frac{20}{N}$ %

$\frac{50}{N}$ %

$\frac{5,000}{N}$ %

$\frac{2,000}{N}$ %

Correct answer:

$\frac{5,000}{N}$ %

Explanation:

Set up a proportion statement.

$\frac{P}{100} = \frac{50}{N}$

Solve for :

$\frac{P}{100} \cdot 100 = \frac{50}{N}\cdot 100$

$P = \frac{5,000}{N}$

Report an Error

Example Question #5 : Percents

Convert $1025\%$ into a improper fraction.

Possible Answers:

$\frac{25}{2}$

$\frac{11}{4}$

$\frac{5}{2}$

$\frac{41}{4}$

$\frac{41}{40}$

Correct answer:

$\frac{41}{4}$

Explanation:

Eliminate the percentage sign and divide by 100. This will give the true value of the number without the percent sign.

$\frac{1025}{100}= 10.25$

The decimal 0.25 can be converted to a fraction by moving the decimal place two places to the right and dividing by 100.

$0.25= \frac{25}{100} = \frac{1}{4}$

$10+\frac{1}{4}= 10\frac{1}{4}= \frac{41}{4}$

The correct answer is: $\frac{41}{4}$

Report an Error

Example Question #7 : Percents

If $\small 35\%$ of the freshman got an A on their French exam, $\small 25\%$ got a B, $\small 19\%$ got a C. What percentage of freshman got a D or below?

Possible Answers:

$\small 39\%$

$\small 79\%$

$\small 11\%$

$\small 21\%$

Correct answer:

$\small 21\%$

Explanation:

To answer this problem, we must know that a whole is equal to $\small 100\%$ . With this knowledge, we understand that the percentages must add up to one hundred. The percentages provided add up to

$\small 79\%; 35+25+19 = 79.$

Since we are looking for an amount that is besides what is given, we will call that unknown "x", thus based on the idea that we must add up all percentages to one hundred to make a whole, our equation will look like this:

$\small 79 + x = 100$ .

To solve for x, we simply subtract $\small 79$ from both sides, leaving us with $\small x = 21\%.$

Report an Error

Example Question #1 : Percents

What percent of is ?

Possible Answers:

$9\%$

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

$900\%$

$90\%$

$9000\%$

Correct answer:

$900\%$

Explanation:

Write the equation to express this scenario. The percentage of a number is divided by 100 percent.

$\left(\frac{x}{100\%}\right)(6)=54$

Solve for .

First divide by 6 on both sides.

$\left(\frac{x}{100}\%\right)=9$

Next multiply by 100 on both sides.

$x=900\%$

Report an Error

Example Question #2 : Percents

The original price of a pair of shoes is $49.56. There is a special sale going on that is 25% off all shoes. How much do the shoes cost during the sale?

Possible Answers:

$\$14.87$

$\$12.39$

$12.39

$\$32.96$

$\$37.17$

Correct answer:

$\$37.17$

Explanation:

Taking 25% off a price means we are paying for 75% of the original cost.

(49.56)(1-0.25)

(49.56)(0.75)

$\$37.17$

Report an Error

Example Question #10 : Percents

The Aral Sea located in Asia Minor originally had a surface area of $68,000\:km^{2}$ and was one of the largest lakes in the world. Due to irresponsible water use, the lake has shrunk and now has a surface area of $17,200\: km^{2}$ . What percent of the total lake surface area has been lost due to human incompitance?

Possible Answers:

$25\%$

$50\%$

$90\%$

$75\%$

$67\%$

Correct answer:

$75\%$

Explanation:

First of all, since we are looking for the percent of surface area lost (not the surface area remaining), we subtract the remaining surface area from the initial to determine the lost area:

$68,000 \,km^{2}-17,200\,km^{2}=50,800\,km^{2}$

Dividing the lost surface area over the original surface area provides us with a decimal ratio of the water surface area lost:

$\frac{50,800\, km^{2}}{68,000\, km^{2}}=0.747$

This decimal multiplied by 100 will provide us with our percentage:

$0.747 \cdot100\%= 74.7\%$

This value can be rounded up to $75\%$

Report an Error

View Algebra Tutors

Kavita
Certified Tutor

Touro College, Doctor of Public Health, Osteopathic Medicine (DO).

View Algebra Tutors

Anisha
Certified Tutor

Georgia Institute of Technology-Main Campus, Bachelor of Engineering, Aerospace Engineering.

View Algebra Tutors

Shakeel
Certified Tutor

All Algebra 1 Resources

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

Popular Subjects

MCAT Tutors in Philadelphia, Biology Tutors in Phoenix, SAT Tutors in Boston, Computer Science Tutors in Los Angeles, Reading Tutors in Denver, French Tutors in Atlanta, ISEE Tutors in San Diego, LSAT Tutors in Los Angeles, Physics Tutors in San Diego, SAT Tutors in San Francisco-Bay Area

Popular Courses & Classes

GMAT Courses & Classes in Los Angeles, Spanish Courses & Classes in Miami, LSAT Courses & Classes in Chicago, GMAT Courses & Classes in Seattle, SSAT Courses & Classes in Los Angeles, GRE Courses & Classes in New York City, MCAT Courses & Classes in Boston, ISEE Courses & Classes in Los Angeles, SSAT Courses & Classes in San Francisco-Bay Area, Spanish Courses & Classes in Houston

Popular Test Prep

SSAT Test Prep in Boston, SAT Test Prep in Seattle, LSAT Test Prep in Philadelphia, ISEE Test Prep in Boston, GMAT Test Prep in Houston, ACT Test Prep in San Diego, ISEE Test Prep in Chicago, SAT Test Prep in New York City, ISEE Test Prep in Atlanta, GRE 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

Algebra 1 : Percents

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #1 : Percents

Example Question #1 : Percents

Example Question #2 : Percents

Example Question #1 : Percents

Example Question #1 : Percents

Example Question #5 : Percents

Example Question #7 : Percents

Example Question #1 : Percents

Example Question #2 : Percents

Example Question #10 : Percents

All Algebra 1 Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: