Difference between revisions of "2013 AMC 12A Problems/Problem 5"
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Revision as of 14:56, 3 July 2013
Problem
Tom, Dorothy, and Sammy went on a vacation and agreed to split the costs evenly. During their trip Tom paid $
, Dorothy paid $
, and Sammy paid $
. In order to share the costs equally, Tom gave Sammy 
dollars, and Dorothy gave Sammy 
dollars. What is 
?
Solution
Add up the amounts that Tom, Dorothy, and Sammy paid to get $
, and divide by 3 to get $
, the amount that each should have paid.
Tom, having paid $, owes Sammy $
, and Dorothy, having paid $, owes Sammy $
.
Thus, 
, which is 
See also
| 2013 AMC 12A (Problems • Answer Key • Resources) | |
| Preceded by Problem 4 |
Followed by Problem 6 |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | |
| All AMC 12 Problems and Solutions | |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
