Question

4

Ally made 25 shots on her
basketball team this season. Some
were 2-point shots and some 3-
point shots. If she made a total of
70 points for her team, how many
2-pointers and 3-pointers did she
Make?
If 2pts = 5 & 3pts = 20 shade A4
If 2pts = 10 & 3pts = 15 shade B3
If 2pts = 4 & 3pts = 21 shade C4

Answer 1

Answer: 2pts = 5 & 3pts = 20

Explanation:

Let the number of 2 pointers be x

Lwt the number of three pointers be y.

Based on the information in the question, we can represent this as an equation. This will be:

a + b = 25 ...... i

2a + 3b = 70 ...... ii

Multiply equation i by 2

Multiply equation ii by 1

2a + 2b = 50 ...... iii

2a + 3b = 70 ...... iv

Subtract equation iii from iv

b = 20

Recall that a + b = 25

a + 20 = 25

a = 25 - 20 = 5

Therefore, 2pts = 5 and 3pts = 20