2008 AMC 12B Problems/Problem 1
Revision as of 23:19, 1 March 2008 by Xantos C. Guin (talk | contribs) (New page: ==Problem== A basketball player made <math>5</math> baskets during a game. Each basket was worth either <math>2</math> or <math>3</math> points. How many different numbers could represent ...)
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 |
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