Question

In a basketball game, Will scored 32 points, consisting only of three points shots and two point shots. He made a total of 14 shots. How many shots of each type did he make?

Answer 1

Let x be the number of 3 point shots he made and y be the number of two points shots he made.

"Will scored 32 points"

3x + 2y = 32

"He made a total of 14 shots"

x + y = 14

Doubling,

2x + 2y = 28

Subtract from the first equation,

x = 4

y = 14 - x = 14 - 4 = 10

Answer: 4 three point shots and 10 two points shots

Check: 4(3) + 10(2) = 12 + 20 = 32, good