Difference between revisions of "2011 AMC 10B Problems/Problem 4"
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Revision as of 12:11, 4 July 2013
Problem
LeRoy and Bernardo went on a week-long trip together and agreed to share the costs equally. Over the week, each of them paid for various joint expenses such as gasoline and car rental. At the end of the trip it turned out that LeRoy had paid 
dollars and Bernardo had paid 
dollars, where 
. How many dollars must LeRoy give to Bernardo so that they share the costs equally?
Solution
The difference in how much LeRoy and Bernardo paid is 
. To share the costs equally, LeRoy must give Bernardo half of the difference, which is 
See Also
| 2011 AMC 10B (Problems • Answer Key • Resources) | ||
| Preceded by Problem 3 |
Followed by Problem 5 | |
| 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 10 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
