2013 AMC 10A Problems/Problem 9
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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
Let the number of attempted three-point shots made 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 3 points and that she made 20% of them and that the two-point shots are worth 2 and that she made 30% of them.
Simplifying, we see that this is equal to . Plugging in
, we get
,
.