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2005 AMC 10A Problems/Problem 1

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Problem

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

\mathrm{(A) \ } 2\qquad \mathrm{(B) \ } 4\qquad \mathrm{(C) \ } 5\qquad \mathrm{(D) \ } 10\qquad \mathrm{(E) \ } 20

Solution

Let m be Mike's bill and j be Joe's bill.

\frac{10}{100}m=2

m=20

\frac{20}{100}j=2

j=10

So the desired difference is m-j=20-10=10 \Rightarrow D

See Also

Looking for a challenging geometry text? Preparing for MATHCOUNTS or the AMC exams? Check out Art of Problem Solving's Introduction to Geometry by Richard Rusczyk.
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