Question

Chloe is a high school basketball player. In a particular game, she made some three point shots and some two point shots. Chloe made a total of 9 shots altogether and scored a total of 22 points. Determine the number of three point shots Chloe made and the number of two point shots she made.

Answer 1

Chloe made 4 three points shots and 5 two points shots

Explanation:

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

Chloe made a total of 9 shots altogether, then

x + y = 9

Score in x three points shots = 3x

Score in y two points shots = 2y

Chloe scored a total of 22 points, then

3x + 2y = 22

From the first equation,

x = 9 - y

Substitute it into the second equation:

`3(9-y)+2y=22\\ \\27-3y+2y=22\\ \\-3y+2y=22-27\\ \\-y=-5\\ \\y=5\\ \\x=9-5=4`