2007 AMC 10A Problem 1

Attempt Problem 1 of the 2007 AMC 10A below, then check your answer against the professionally curated solution 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.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

1.

One ticket to a show costs $20\$20 at full price. Susan buys 44 tickets using a coupon that gives her a 25%25\% discount. Pam buys 55 tickets using a coupon that gives her a 30%30\% discount. How many more dollars does Pam pay than Susan?
22
55
1010
1515
2020
Answer: C
Concepts:percentagemoney
Small hint:
A 25%25\% discount means paying 75%75\% of the full price
Big hint:
Compute each person’s total, then subtract
Solution:
Susan pays 4⋅0.75⋅20=604 \cdot 0.75 \cdot 20 = 60 dollars.
Pam pays 5⋅0.70⋅20=705 \cdot 0.70 \cdot 20 = 70 dollars.
The difference is 70−60=1070 - 60 = 10 dollars.
Thus, the correct answer is C.
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