Difference between revisions of "2008 AMC 12B Problems/Problem 1"
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Revision as of 09:53, 4 July 2013
Problem
A basketball player made 
baskets during a game. Each basket was worth either 
or 
points. How many different numbers could represent the total points scored by the player?
Solution
If the basketball player makes 
three-point shots and 
two-point shots, he scores 
points. Clearly every value of yields a different number of total points. Since he can make any number of three-point shots between 
and inclusive, the number of different point totals is 
.
See Also
| 2008 AMC 12B (Problems • Answer Key • Resources) | |
| Preceded by First question |
Followed by Problem 2 |
| 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. 
