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 how many of the points were three points and how many were 2 points

Answer 1

Ava made 4 three point shots and 8 two point shots.

Explanation:

Let X represent the number of 3-point shots and Y represent the number of 2-point shots.

Then using the provided data two equations can be formed:

X + Y = 12...(i)

3X + 2Y = 28...(ii)

Solve (i) and (ii) simultaneously:

Multiply (i) by 2 and subtract (ii) from (i) as follows:

2X + 2Y = 24

-3X - 2Y = -28

-X = -4

X = 4

Substitute X = 4 in (i) and solve for Y as follows:

X + Y = 12

4 + Y = 12

Y = 8

Thus, Ava made 4 3-point shots and 8 2-point shots.