Question

Ava is a high school basketball player. In a particular game, she made some three

point shots and some two point shots. Ava made a total of 12 shots altogether and
scored a total of 28 points. Determine the number of three point shots Ava made and
the number of two point shots she made.

Answer 1

8 two-point shots,

4 three-point shots

Explanation:

let 'x' = 2-pt shots

let 'y' = 3-pt shots

system of equations can be used as follows:

x + y = 12

2x + 3y = 28

if we solve for 'y' we get 'y = 12-x'

use '12-x' instead of 'y' in the equation 2x + 3y = 28 to solve for 'x':

2x + 3(12-x) = 28

2x + 36 - 3x = 28

-x + 36 = 28

-x = -8

x = 8

if x+y = 12, then y = 4