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.

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1.

One ticket to a show costs $20\$20 at full price. Susan buys 44 tickets using a coupon that gives her a 25%25\% discount. Pam buys 55 tickets using a coupon that gives her a 30%30\% discount. How many more dollars does Pam pay than Susan?

22

55

1010

1515

2020

Answer: C
Concepts:percentagemoney
Difficulty rating: 920
Solution:

Susan pays (4)(0.75)(20)=60(4)(0.75)(20)=60 dollars.

Pam pays (5)(0.70)(20)=70(5)(0.70)(20)=70 dollars.

So Pam pays 7060=1070-60=10 more dollars than Susan.

Thus, the correct answer is C.

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