We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

ACT Math : Percentage

Study concepts, example questions & explanations for ACT Math

Create An Account

All ACT Math Resources

14 Diagnostic Tests 767 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

← Previous 1 2 3 4 5 6 7 8 9 … 16 17 Next →

Example Question #11 : Percentage

A politician promises to spend a minimum of $\frac{3}{8}$ of his budget on improving roads. What is the minimum percent of the budget that must be spent on roads to keep this promise?

Possible Answers:

$32.5 \%$

$47 \%$

$35.5 \%$

$23.8 \%$

$37.5 \%$

Correct answer:

$37.5 \%$

Explanation:

To find a percentage from a fraction, multiply the numerator by 100 , then solve the fraction.

$\frac{3}{8} = (\frac{3 \cdot 100}{8}) \% = \frac{300}{8} \% = 37.5 \%$

Thus, the politician must spend at least $37.5 \%$ of the budget on roads.

Report an Error

Example Question #12 : Percentage

Convert to a percentage: $\frac{2}{5} + \frac{13}{15}$

Round to the nearest integer.

Possible Answers:

$157 \%$

$148 \%$

$172 \%$

$127 \%$

$145 \%$

Correct answer:

$127 \%$

Explanation:

We can solve this problem either by adding the two fractions and then converting to a percentage, or by converting each fraction to a percentage before adding them. We'll use the first method in this case:

$\frac{2}{5} + \frac{13}{15} = \frac{6}{15} + \frac{13}{15} = \frac{19}{15}$

Now, just as before, multiply our numerator by 100 and solve the fraction:

$\frac{19}{15} = \left (\frac{1900}{15} \right ) \% \approx 127 \%$

Report an Error

Example Question #1 : How To Find Fractional Percentages

The girl's tennis team decided to do multiple fundraisers to raise enough to buy new equipment for next season. The following is a table of 4 of the fundraisers they did and the fraction of the total funds each raised.

Fundraiser

The last fundraiser they did earned them the final $\$257$ they needed. What percent of the total funds raised did the last fundraiser raise?

Possible Answers:

$24.1\%$

$22.8\%$

$.24\%$

$36.01\%$

$27\%$

Correct answer:

$24.1\%$

Explanation:

The question asks to find what percent the last fundraiser makes up of the total funds raised. The information that's given is how much that last fundraiser made and what fraction the other fundraisers made.

This problem may be solved without the amount of money the last fundraiser raised. The reason is that we know that only 5 fundraisers were done. We're given what the fraction of the other fundraisers were.

If we were to add all the fractions together, including the last fundraiser, the sum of all would equal 1.

$\frac{2}{7}+\frac{1}{8}+\frac{2}{7}+\frac{1}{16}+x=1$

Fractions are another version of decimals but also another version of percentages. Percentages are essentially a prettier way of showing parts (or fractions) of a whole, which would be 100%. In the case of fractions, this is the same logic, which is why when all the fractions are summed, they equal 1. This 1 represents 100%.
Upon using lowest common denominators, adding the fractions together, and solving for x, x is calculated to be $x=\frac{27}{112}$

We've almost obtained the final answer. Now it's just a matter of converting this fraction into a percent. As mentioned previously, fractions are another version of decimals. Think of decimals as being the middle conversion between fractions and percents. All that needs to be done to a decimal to turn it in to a percent is to multiply it by 100. For instance, .50 becomes 50%. Conversely, .50 is the same as $\frac{1}{2}$ in fraction form. Therefore, one half is 50%.
In order to solve for x in percent, the same conversion must be done.
$x=\frac{27}{112}=0.241$
$0.241\cdot 100= 24.1\% = x$

Report an Error

Example Question #1 : How To Find Fractional Percentages

Convert the following to a percentage.

$\frac{18}{4}$

Possible Answers:

$450\%$

$1840\%$

$4.5\%$

$45\%$

Correct answer:

$450\%$

Explanation:

To convert a fraction into a percentage, simply simplify the fraction into a decimal and multiply by 100.

$\frac{18}{4}\rightarrow4\frac{2}{4}\rightarrow 4.5$

$4.5\cdot100=450\%$

Report an Error

Example Question #1 : How To Find Fractional Percentages

If a dress in a store originally costs $\small \$80$ , what does it cost (in dollars) after a $\small 35\%$ discount is applied?

Possible Answers:

$70

$52

$45

$63

$28

Correct answer:

$52

Explanation:

To find $\small 35\%$ of 80, $\small 80\times 0.35=28$ . Next, subtract $\small 80-28=52$ , for $\small \$52$ as the final answer.

Report an Error

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

If n% of 400 is 260, then what is 20% of n?

Possible Answers:

Correct answer:

Explanation:

n% of 400 is 260

A number as a percentage of a second number is equal to the first number divided by the second number, times 100%.

260 / 400 * 100% = .65 * 100% = 65%. n = 65.

20% of n?

20% of 65 is equal to 65 * 20 / 100 = 65 / 5 = 13.

Report an Error

Example Question #17 : Percentage

Auditions are being held for the annual school musical. There are 18 roles available in the show. If 75 students try out, what percentage of the students will get a role in the musical?

Possible Answers:

26%

28%

30%

24%

22%

Correct answer:

24%

Explanation:

Percentage is #roles / # students = 18 / 75 = 0.24 = 24%

Report an Error

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

You are making cookies and mixing the dry ingredients: flour, white sugar and brown sugar. If the recipe calls for 3 1/4 cups of flour, 1/2 cup of white sugar and 3/4 cup of brown sugar, what percentage of the recipe is white sugar?

Possible Answers:

20%

16.7%

10%

17.5%

11.1%

Correct answer:

11.1%

Explanation:

Total ingredients = 3 1/4 cups + 1/2 cup + 3/4 cup = 4 1/2 cups

White sugar percentage = white sugar / total = (1/2)/(9/2) = .111 = 11.1%

Report an Error

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

Jamie bought shoes for 30% off the regular price of $37.99, rounded to the nearest cent. If she wanted to use exact change to pay, how much would she need in coins?

Possible Answers:

$\small 40\cent$

$\small 99\cent$

$\small 41\cent$

$\small 59\cent$

$\small 39\cent$

Correct answer:

$\small 59\cent$

Explanation:

$30\% \ of\ 37.99 = 11.397$

$37.99-11.397=26.593$

$\approx \$26.59$

Report an Error

Example Question #1 : Whole And Part

A class has 25 students. If 60% of them are boys, how many students are girls?

Possible Answers:

Correct answer:

Explanation:

If 60% of the students are boys, 40% are girls $\small (100-60=40)$ . Multiply 25 by 40% $\small (25*.4=10)$ . Therefore, 10 students are girls.

Report an Error

← Previous 1 2 3 4 5 6 7 8 9 … 16 17 Next →

View ACT Math Tutors

Jamie
Certified Tutor

University of South Florida-Main Campus, Bachelor of Science, Chemistry.

View ACT Math Tutors

Zachary
Certified Tutor

Yale University, Bachelor of Science, Biology, General.

View ACT Math Tutors

Bagher
Certified Tutor

San Jose State University, Master's/Graduate, Physics.

All ACT Math Resources

14 Diagnostic Tests 767 Practice Tests Question of the Day Flashcards Learn by Concept

ACT Math Tutors in Top Cities:

Atlanta ACT Math Tutors, Austin ACT Math Tutors, Boston ACT Math Tutors, Chicago ACT Math Tutors, Dallas Fort Worth ACT Math Tutors, Denver ACT Math Tutors, Houston ACT Math Tutors, Kansas City ACT Math Tutors, Los Angeles ACT Math Tutors, Miami ACT Math Tutors, New York City ACT Math Tutors, Philadelphia ACT Math Tutors, Phoenix ACT Math Tutors, San Diego ACT Math Tutors, San Francisco-Bay Area ACT Math Tutors, Seattle ACT Math Tutors, St. Louis ACT Math Tutors, Tucson ACT Math Tutors, Washington DC ACT Math Tutors

Popular Courses & Classes

Spanish Courses & Classes in San Diego, ISEE Courses & Classes in Phoenix, LSAT Courses & Classes in Atlanta, SAT Courses & Classes in Seattle, SAT Courses & Classes in Boston, Spanish Courses & Classes in Boston, SSAT Courses & Classes in Dallas Fort Worth, GMAT Courses & Classes in Miami, GRE Courses & Classes in Los Angeles, SAT Courses & Classes in San Francisco-Bay Area

Popular Test Prep

MCAT Test Prep in San Diego, MCAT Test Prep in San Francisco-Bay Area, LSAT Test Prep in Boston, GRE Test Prep in Los Angeles, MCAT Test Prep in Denver, GMAT Test Prep in Washington DC, SSAT Test Prep in Philadelphia, ISEE Test Prep in Seattle, GMAT Test Prep in Miami, SSAT Test Prep in San Diego

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

ACT Math : Percentage

Study concepts, example questions & explanations for ACT Math

All ACT Math Resources

Example Questions

Example Question #11 : Percentage

Example Question #12 : Percentage

Example Question #1 : How To Find Fractional Percentages

Example Question #1 : How To Find Fractional Percentages

Example Question #1 : How To Find Fractional Percentages

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

Example Question #17 : Percentage

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

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

Example Question #1 : Whole And Part

All ACT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: