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2007 AMC 10A 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=604 \cdot 0.75 \cdot 20 = 60 dollars. Pam pays 5⋅0.70⋅20=705 \cdot 0.70 \cdot 20 = 70 dollars. The difference is 70−60=1070 - 60 = 10 dollars. 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.