2013 AMC 10A Problems/Problem 9
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[hide]Problem
In a recent basketball game, Shenille attempted only three-point shots and two-point shots. She was successful on of her three-point shots and
of her two-point shots. Shenille attempted
shots. How many points did she score?
Solution 1
Let the number of attempted three-point shots be and the number of attempted two-point shots be
. We know that
, and we need to evaluate
, as we know that the three-point shots are worth
points and that she made
% of them and that the two-point shots are worth
and that she made
% of them.
Simplifying, we see that this is equal to . Plugging in
, we get
Solution 2 (cheap)
The problem statement implies that it doesn't matter how many two-point shots or three-point shots are attempted. If we assume that Shenille only attempts three-pointers, then she makes shots, which are worth
points. If we assume Shenille only attempts two-pointers, then she makes
shots, which are worth
points.
Video Solution (CREATIVE THINKING)
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See Also
2013 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 8 |
Followed by Problem 10 | |
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 |
2013 AMC 12A (Problems • Answer Key • Resources) | |
Preceded by Problem 5 |
Followed by Problem 7 |
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 |
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