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2007 AMC 12A Problem 1

Problem 1 of 25EasierAlgebra

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?

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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 70−60=1070-60=10 more dollars than Susan. Thus, the correct answer is C.

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Concepts: percentage · money

Problem text and solution from the LIVE past-contest archive. See also the AoPS wiki page for community solutions.