2005 AMC 10A Problems/Problem 1: Difference between revisions
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==Problem== | ==Problem== | ||
While eating out, Mike and Joe each tipped their server <math>\ | While eating out, Mike and Joe each tipped their server <math>\</math>2<math>. Mike tipped </math>10%<math> of his bill and Joe tipped </math>20%<math> of his bill. What was the difference, in dollars between their bills? | ||
<math> \mathrm{(A) \ } 2\qquad \mathrm{(B) \ } 4\qquad \mathrm{(C) \ } 5\qquad \mathrm{(D) \ } 10\qquad \mathrm{(E) \ } 20 | </math> \mathrm{(A) \ } 2\qquad \mathrm{(B) \ } 4\qquad \mathrm{(C) \ } 5\qquad \mathrm{(D) \ } 10\qquad \mathrm{(E) \ } 20 $ | ||
==Solution== | ==Solution== | ||
Revision as of 14:33, 24 December 2009
Problem
While eating out, Mike and Joe each tipped their server 
2
10%
20%
\mathrm{(A) \ } 2\qquad \mathrm{(B) \ } 4\qquad \mathrm{(C) \ } 5\qquad \mathrm{(D) \ } 10\qquad \mathrm{(E) \ } 20 $
Solution
Let 
be Mike's bill and 
be Joe's bill.
So the desired difference is 
