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.

Respuesta :

Answer:

2(x+31)+3x+1=83

2x+62+3x+1=83

5x=83-62-1

5x=20

x=20/5

x=4 3-points made.

4+31=35 3-points made.

Proof:

2*35+3*4+1=83

70+12=1=83

83=83 hope this helps

Step-by-step explanation:

Answer: the the number of three point shots that Ava made is 8

the number of two point shots that Ava made is 4

Step-by-step explanation:

Let x represent the the number of three point shots that Ava made. Let y represent the number of two point shots that Ava made.

Ava made a total of 12 shots altogether. This means that

x + y = 12

She scored a total of 28 points. This means that

2x + 3y = 28 - - - - - - - - - - - - - -1

Substituting x = 12 - y into equation 1, it becomes

2(12 - y) + 3y = 28

24 - 2y + 3y = 28

- 2y + 3y = 28 - 24

y = 4

x = 12 - y = 12 - 4

x = 8