Question

In a recent basketball game, Shenille attempted only three-point shots and two-point shots. She was successful on $20\%$ of her three-point shots and $30\%$ of her two-point shots. Shenille attempted $30$ shots. How many points did she score?

$12$

$18$

$24$

$30$

$36$

Answer: B

Concepts:percentage linear equation

Difficulty rating: 1020

Solution:

Let $x$ be the number of two-point shots and $y$ be the number of three-point shots.

Then, Shenille makes $.3x$ two-point shots and $.2y$ three-point shots, for a total score of $2 \cdot .3x + 3 \cdot .2y = .6x + .6y.$

We know that $x + y = 30$ $.6(x + y) = 18.$

Thus, B is the correct answer.

2013 AMC 10A Problem 9

Answer: B

Difficulty rating: 1020

Solution:

Problem 9 in Other Years