# 2007 AMC 12A 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?$ (Error compiling LaTeX. ! Missing $inserted.)\mathrm{(A)}\ 2\qquad \mathrm{(B)}\ 5\qquad \mathrm{(C)}\ 10\qquad \mathrm{(D)}\ 15\qquad \mathrm{(E)}\ 20$

## 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.