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2005 AMC 10A Problem 1

Problem 1 of 25EasierAlgebra

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

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Solution

Mike’s $2\$2 tip is 10%10\% of his bill, so his bill is 2×10=202 \times 10 = 20 dollars. Joe’s $2\$2 tip is 20%20\% of his bill, so his bill is 2×5=102 \times 5 = 10 dollars. The difference is 20−10=1020 - 10 = 10 dollars. Thus, the correct answer is D.

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Concepts: percentage · money

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