Art of Problem Solving
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2007 AMC 12A Problems/Problem 1: Difference between revisions

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== Problem ==
== Problem ==
One ticker to a show costs $20 at full price. Susan buys 4 tickets using a coupon that gives her a 25% discount. Pam buys 5 tickers using a coupon that gives her a 30% discount. How many more dollars does Pam pay than Susan?
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 tickers using a coupon that gives her a 30% discount. How many more dollars does Pam pay than Susan?





Revision as of 08:55, 9 September 2007

Problem

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 tickers using a coupon that gives her a 30% discount. How many more dollars does Pam pay than Susan?


Solution

P=the amount Pam spent S=the amount Susan spent

  • $P=5*(20*.7)=70$
  • $S=4*(20*.75)=60$

Pam pays 10 more dollars than Susan.

See also