2007 AMC 12A Problems/Problem 1

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(Redirected from 2007 AMC 10A Problems/Problem 1)

The following problem is from both the 2007 AMC 12A #1 and 2007 AMC 10A #1, so both problems redirect to this page.

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 tickets 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

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

Pam pays 10 more dollars than Susan $\Rightarrow\fbox{C}$

2007 AMC 12A (Problems)
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2007 AMC 10A (Problems)
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2007 AMC 12A Problems/Problem 1

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