2007 AMC 12A Problems/Problem 1

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?

$\mathrm{(A)}\ 2\qquad \mathrm{(B)}\ 5\qquad \mathrm{(C)}\ 10\qquad \mathrm{(D)}\ 15\qquad \mathrm{(E)}\ 20$

Solution

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

$\displaystyle P=5 \displaystyle \cdot (20 \cdot .7) = 70$
$\displaystyle S=4 \cdot (20 \cdot .75) = 60$

Pam pays 10 more dollars than Susan.

2007 AMC 12A (Problems • Answer Key • Resources)
Preceded by First question	Followed by Problem 2
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2007 AMC 12A Problems/Problem 1

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