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Prealgebra
Percent

1
Percents, Decimals, and Fractions

Problem 1

Write each percent as a fraction with a denominator of \(100\).

  1. \(33\%\)

  2. \(6\%\)

  3. \(160\%\)

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Mrs. Mooney cc
Mrs. Mooney
Preston cc
Preston
Stephanie cc
Stephanie
Edwin cc spanish language icon
Edwin
Problem 2

Change \(35.2\%\) to a decimal.

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Dr. Cavanah cc
Dr. Cavanah
Preston cc
Preston
Stephanie cc
Stephanie
Edwin cc spanish language icon
Edwin
Problem 3

Write each percent as a decimal.

  1. \(37\%\)

  2. \(68\%\)

  3. \(120\%\)

  4. \(0.8\%\)

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Preston cc
Preston
Stephanie cc
Stephanie
Edwin cc spanish language icon
Edwin
Problem 4

Change \(0.5\%\) to a decimal.

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Julieta cc
Julieta
Preston cc
Preston
Stephanie cc
Stephanie
Edwin cc spanish language icon
Edwin
Problem 5

Write each decimal as a percent.

  1. \(0.27\)

  2. \(4.89\)

  3. \(0.5\)

  4. \(0.09\)

  5. \(3\)

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Dr. Cavanah cc
Dr. Cavanah
Preston cc
Preston
Stephanie cc
Stephanie
Edwin cc spanish language icon
Edwin
Problem 6

A softball player has a batting average of \(0.650\). Write this number as a percent.

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Stephanie cc
Stephanie
Nathan cc
Nathan
Edwin cc spanish language icon
Edwin
Problem 7

Write each percent as a fraction in lowest terms.

  1. \(19\%\)

  2. \(45\%\)

  3. \(36\%\)

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Stephanie cc
Stephanie
Preston cc
Preston
Julieta cc
Julieta
Edwin cc spanish language icon
Edwin
Problem 8

Change \(4.5\%\) to a fraction.

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Stephanie cc
Stephanie
Aaron cc
Aaron
Edwin cc spanish language icon
Edwin
Problem 9

Change \(32\frac{1}{2}\%\) to a fraction.

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Katrina cc
Katrina
Nathan cc
Nathan
Julieta cc spanish language icon
Julieta
Problem 10

Change \(\dfrac{7}{10}\) to a percent.

Choose instructor to watch:
Mrs. Mooney cc
Mrs. Mooney
Stephanie cc
Stephanie
Aaron cc
Aaron
Edwin cc spanish language icon
Edwin
Problem 11

Change \(\dfrac{3}{8}\) to a percent.

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Nathan cc
Nathan
Stephanie cc
Stephanie
Gordon cc
Gordon
Edwin cc spanish language icon
Edwin
Problem 12

Change \(\dfrac{5}{12}\) to a percent.

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Stephanie cc
Stephanie
Aaron cc
Aaron
Edwin cc spanish language icon
Edwin
Problem 13

Change \(2\frac{1}{2}\) to a percent.

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Gordon cc
Gordon
Stephanie cc
Stephanie
Mrs. Mooney cc
Mrs. Mooney
Edwin cc spanish language icon
Edwin
Problem 14

  

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Problem 15

  

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Problem 16
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2
Percent Problems

Problem 1

What number is \(15\%\) of \(63\)?

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Mr. McKeague cc
Mr. McKeague
Stephanie cc
Stephanie
Nathan cc
Nathan
David cc spanish language icon
David
Problem 2

What percent of \(42\) is \(21\)?

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Mr. McKeague cc
Mr. McKeague
Stephanie cc
Stephanie
Aaron cc
Aaron
David cc spanish language icon
David
Problem 3

\(25\) is \(40\%\) of what number?

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Mr. McKeague cc
Mr. McKeague
Nathan cc
Nathan
David cc spanish language icon
David
Problem 4

What number is \(43.5\%\) of \(25\)?

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Katrina cc
Katrina
Aaron cc
Aaron
David cc spanish language icon
David
Problem 5

What percent of \(78\) is \(31.9\)?

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Katherine cc
Katherine
Katrina cc
Katrina
Nathan cc
Nathan
David cc spanish language icon
David
Problem 6

\(34\) is \(29\%\) of what number?

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Katherine cc
Katherine
Katrina cc
Katrina
Aaron cc
Aaron
David cc spanish language icon
David
Problem 7

The American Dietetic Association recommend eating foods in which the number of calories from fat is less than \(30\%\) of the total number of calories. According to the nutrition label, what percent of the total number of calories are fat calories?

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Katherine cc
Katherine
Katrina cc
Katrina
Gordon cc
Gordon
Julieta cc spanish language icon
Julieta
Problem 8

What number is \(15\%\) of \(63\)? (Use proportions.)

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Mr. McKeague cc
Mr. McKeague
Katrina cc
Katrina
Aaron cc
Aaron
Edwin cc spanish language icon
Edwin
Problem 9

What percent of \(42\) is \(21\)? (Use proportions.)

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Mr. McKeague cc
Mr. McKeague
Katrina cc
Katrina
Gordon cc
Gordon
Julieta cc spanish language icon
Julieta
Problem 10

\(25\) is \(40\%\) of what number? (Use proportions.)

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Mr. McKeague cc
Mr. McKeague
Katrina cc
Katrina
Aaron cc
Aaron
Edwin cc spanish language icon
Edwin

3
General Applications of Percent

Problem 1

On a \(120\)-question test, a student answered \(96\) correctly. What percent of the problems did the student work correctly?

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Mr. McKeague cc
Mr. McKeague
Arielle cc
Arielle
Anthony cc
Anthony
David cc spanish language icon
David
Problem 2

How much HCl is in a \(60\)-milliliter bottle that is marked \(80\%\) HCl?

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Mr. McKeague cc
Mr. McKeague
Mr. McKeague cc
Mr. McKeague
Aaron cc
Aaron
David cc spanish language icon
David
Problem 3

If \(48\%\) of the students in a certain college are female and there are \(2,400\) female students, what is the total number of students in the college?

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Mr. McKeague cc
Mr. McKeague
Anthony cc
Anthony
Arielle cc
Arielle
David cc spanish language icon
David
Problem 4

If \(25\%\) of the students in elementary algebra courses receive a grade of A, and there are \(300\) students enrolled in elementary algebra this year, how many students will receive A’s?

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Mr. McKeague cc
Mr. McKeague
Arielle cc
Arielle
Anthony cc
Anthony
David cc spanish language icon
David

4
Sales Tax and Commission

Problem 1

Suppose the sales tax rate in Mississippi is \(6\%\) of the purchase price. If the price of a used refrigerator is \(\$550\), how much sales tax must be paid?

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Mr. McKeague cc
Mr. McKeague
Anthony cc
Anthony
David cc spanish language icon
David
Problem 2

Suppose the sales tax rate is \(4\%\). If the sales tax on a \(10\)-speed bicycle is \(\$5.44\), what is the purchase price, and what is the total price of the bicycle?

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Gordon cc
Gordon
Arielle cc
Arielle
Nathan cc
Nathan
Edwin cc spanish language icon
Edwin
Problem 3

Suppose the purchase price of a stereo system is \(\$396\) and the sales tax is \(\$19.80\). What is the sales tax rate?

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Katherine cc
Katherine
Katrina cc
Katrina
Aaron cc
Aaron
Julieta cc spanish language icon
Julieta
Problem 4

A real estate agent gets \(3\%\) of the price of each house she sells. If she sells a house for \(\$289,500\), how much money does she earn?

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Katherine cc
Katherine
Katrina cc
Katrina
Nathan cc
Nathan
Edwin cc spanish language icon
Edwin
Problem 5

Suppose a car salesperson’s commission rate is \(12\%\). If the commission on one of the cars is \(\$1,836\), what is the purchase price of the car?

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Dr. Cavanah cc
Dr. Cavanah
Katrina cc
Katrina
Aaron cc
Aaron
Julieta cc spanish language icon
Julieta
Problem 6

If the commission on a \(\$600\) dining room set is \(\$90\), what is the commission rate?

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Mr. McKeague cc
Mr. McKeague
Katrina cc
Katrina
Gordon cc
Gordon
Edwin cc spanish language icon
Edwin

5
Percent Increase or Decrease, and Discount

Problem 1

If a person earns \(\$22,000\) a year and gets a \(5\%\) increase in salary, what is the new salary?

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Mr. McKeague cc
Mr. McKeague
Katrina cc
Katrina
Aaron cc
Aaron
Edwin cc spanish language icon
Edwin
Problem 2

In 1986 there were approximately \(1,793,000\) arrests for driving under the influence of alcohol or drugs (DUI) in the United States. By 1997, the number of arrests for DUI had decreased \(17.6\%\) from the 1986 number. How many people were arrested for DUI in 1997? Round to the nearest thousand.

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Betsy cc
Betsy
Julieta cc spanish language icon
Julieta
Problem 3

Shoes that usually sell for \(\$25\) are on sale for \(\$21\). What is the percent decrease in price?

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Katrina cc
Katrina
Aaron cc
Aaron
Edwin cc spanish language icon
Edwin
Problem 4

During a clearance sale, a suit that usually sells for \(\$300\) is marked "\(25\%\) off." What is the discount? What is the sale price?

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Gordon cc
Gordon
Problem 5

A man buys a washing machine on sale. The machine usually sells for \(\$450\), but it is on sale at \(12\%\) off. If the sales tax rate is \(5\%\), how much is the total bill for the washer?

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Katherine cc
Katherine
Stephanie cc
Stephanie
Aaron cc
Aaron

6
Interest

Problem 1

A man invests \(\$2,000\) in a savings plan that pays \(7\%\) per year. How much will be in the account at the end of \(1\) year?

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Betsy cc
Betsy
Aaron cc
Aaron
Julieta cc spanish language icon
Julieta
Problem 2

A farmer borrows \(\$8,000\) from his local bank at \(12\%\). How much does he pay back to the bank at the end of the year to pay off the loan?

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Betsy cc
Betsy
Edwin spanish language icon
Edwin
Problem 3

A student takes out an emergency loan for tuition, books, and supplies. The loan is for \(\$600\) at an interest rate of \(4\%\). How much interest does the student pay if the loan is paid back in \(60\) days?

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Betsy cc
Betsy
Aaron cc
Aaron
Edwin spanish language icon
Edwin
Problem 4

A woman deposits \(\$900\) in an account that pays \(6\%\) annually. If she withdraws all the money in the account after \(90\) days, how much does she withdraw?

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Betsy cc
Betsy
Edwin spanish language icon
Edwin
Problem 5

A homemaker puts \(\$3,000\) into a savings account that pays \(7\%\) compounded annually. How much money is in the account at the end of \(2\) years?

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Elisabeth cc
Elisabeth
Betsy cc
Betsy
Aaron cc
Aaron
Julieta cc spanish language icon
Julieta
Problem 6

If \(10,000\) is invested in a savings account that pays \(6\%\) compounded quarterly, how much is in the account at the end of the year?

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Betsy cc
Betsy
Edwin spanish language icon
Edwin

7
Pie Charts

Problem 1

The pie chart shows where a group of freshmen students live. Use the pie chart to answer the following questions:

  1. Find the total number of students surveyed.

  2. Find the ratio of those living in the dorms to the total surveyed.

  3. Find the ratio of those living in their parents’ homes to those living in apartments.

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Stephanie cc
Stephanie
Joshua cc
Joshua
Mr. Perez cc
Mr. Perez
Cynthia spanish language icon
Cynthia
Problem 2

The pie chart shows the market share for different digital movie companies.

  1. How many people in the survey stream digital movies from Netflix?

  2. How many people stream their digital movies from Apple and Comcast combined?

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Stephanie cc
Stephanie
Joshua cc
Joshua
Cynthia spanish language icon
Cynthia
Mr. Perez cc
Mr. Perez
Problem 3

A recent study found that Americans spend just over six hours per day on social media sites. Construct a pie chart that shows the amount of time in a day spent on social media.

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Mr. Perez cc
Mr. Perez
Joshua cc
Joshua
Molly S. cc
Molly S.
Cynthia spanish language icon
Cynthia
Problem 4

Construct a pie chart from the information in the table.

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Stephanie cc
Stephanie
Joshua cc
Joshua
Mr. Perez cc
Mr. Perez
Cynthia spanish language icon
Cynthia