2007 AMC 12A Problems/Problem 1

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Problem

One ticket to a show costs $20 at full price. Susan buys 4 tickets using a coupon that gives her a 25% discount. Pam buys 5 tickers using a coupon that gives her a 30% discount. How many more dollars does Pam pay than Susan?$ (Error compiling LaTeX. Unknown error_msg)\mathrm{(A)}\ 2\qquad \mathrm{(B)}\ 5\qquad \mathrm{(C)}\ 10\qquad \mathrm{(D)}\ 15\qquad \mathrm{(E)}\ 20$== Solution == Let$P$= the amount Pam spent,$S$= the amount Susan spent.

  • $ (Error compiling LaTeX. Unknown error_msg)P=5 \cdot (20 \cdot .7) = 70$*$S=4 \cdot (20 \cdot .75) = 60$

Pam pays 10 more dollars than Susan.

See also

2007 AMC 12A (ProblemsAnswer KeyResources)
Preceded by
First question
Followed by
Problem 2
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All AMC 12 Problems and Solutions