2005 AMC 10A Problem 1

Attempt Problem 1 of the 2005 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 2005 AMC 10A solutions, or check the answer key.

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While eating out, Mike and Joe each tipped their server $\$2.$ Mike tipped $10\%$ of his bill and Joe tipped $20\%$ of his bill. What was the difference, in dollars, between their bills?

$2$

$4$

$5$

$10$

$20$

Answer: D

Concepts:percentage money

Difficulty rating: 900

Solution:

Mike's $\$2$ tip is $10\%$ of his bill, so his bill is $2 \times 10 = 20$ dollars. Joe's $\$2$ tip is $20\%$ of his bill, so his bill is $2 \times 5 = 10$ dollars. The difference is $20 - 10 = 10$ dollars.

Thus, the correct answer is D.

Full Exam

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