Question

Allison plays basketball and last season she made a total of 87 shots (two- or three-point shots). Her point total was 191 . How many three-point shots did she make?

Answer 1

Answer:

She made 17 three-point shots.

Step-by-step explanation:

Let t represent the number of three-point shots she made.

Since, she made a total of 87 shots (two- or three-point shots), the number of two-point shots will be 87-t.

The points from three-point shots:

→ 3t   (1)

The points from two-point shots:

→ 2(87-t)   (2)

Since, her total point was 191, the sum of equation 1 and equation 2 must be equal to 191.

→ 3t + 2(87-t) = 191

→ 3t + 174 - 2t = 191

→  t = 17