2007 AMC 10A Problem 1

Below is the professionally curated solution for Problem 1 of the 2007 AMC 10A, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2007 AMC 10A solutions, or check the answer key.

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Concepts:percentage money

Difficulty rating: 720

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?

$2$

$5$

$10$

$15$

$20$

Solution:

Susan pays $4 \cdot 0.75 \cdot 20 = 60$ dollars.

Pam pays $5 \cdot 0.70 \cdot 20 = 70$ dollars.

The difference is $70 - 60 = 10$ dollars.

Thus, the correct answer is C.

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