WS Percents and Equations Name: ______

Write an equation and solve.

1.) What percent of 40 is 25? 2.) What percent of 25 is 17? 3.) Find 225% of 3.6

4.) 120 is 15% of what number? 5.) What percent of 150 is 96? 6.) 300% of “a” is 297?

7.) Find 37.5% of 104 8.) What percent is 84 of 60? 9.) 135% of “t” is 63

10.) What percent of 72 is 18? 11.) What is 104% of 85? 12.) 14 is 25% of what number

Write an equation to solve the following word problems.

13.) Your class surveyed 560 students and asked what kind of community service activity they prefer. Of the students surveyed, 25% chose recycling. How many students chose recycling?

14.) A school newspaper says that 3 students, or 6% of the students surveyed, can wiggle their ears. How many students were surveyed?

15.) On one math test, you scored 69 points out of 75 total points. On your next math test, you scored 51 points out of 60 total points. For both tests combined, what was your score as a percent of the total points?

16.) A company made $3640 last month. About 12.5% of this amount was made through catalog sales. How much did the company make in catalog sales?

Notes: Commissions and Royalties

A.  What is commission?

i.  Commission – an amount paid to a salesperson, often in addition to a regular salary, for selling an item or service.

ii. Commission Rate – is a percent of the value of the sales that a person makes

B.  Examples:

i.  A car salesman makes 6.5% commission on each car he sells. How much money does he make, when he sells a $35,000 car?

ii. If Slick Rick sells a car, he receives 6% commission from the sell. The dealer earns 12% on each car that is sold. What commission does Slick Rick receive, if he sells a $25,000?

C.  What are Royalties?.

i.  Royalty – an amount paid to the creator or owner of a musical or literary work, an invention, or a service.

ii. Royalty Rate – is a percent of money earned by the sale of the creation or service

D.  Examples:

i.  A guitarist earns a royalty of 22% of the selling price of a CD. If he earns $2.64 on each CD sold, what is the selling price of the album?

ii. The creator of a new game receives a royalty of 8% of the selling price of each game sold. The company that produces the game receives the remaining amount. If the company receives $10.10 per game, what is the selling price of the game?