2007 AMC 12A Problem 1

Attempt Problem 1 of the 2007 AMC 12A below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2007 AMC 12A solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

One ticket to a show costs

\$20

at full price. Susan buys

4

tickets using a coupon that gives her a

25\%

discount. Pam buys

5

tickets using a coupon that gives her a

30\%

discount. How many more dollars does Pam pay than Susan?

2

5

10

15

20

25\%

discount means paying

75\%

of full price, and a

30\%

discount means paying

70\%

Susan pays

4\cdot 20\cdot 0.75

and Pam pays

5\cdot 20\cdot 0.70

Susan pays

(4)(0.75)(20)=60

dollars.

Pam pays

(5)(0.70)(20)=70

dollars.

So Pam pays

70-60=10

more dollars than Susan.

Thus, the correct answer is C.

Problem 1 in other years