Question

Connor made 65 field goals during one season. A field goal can either be a 2 point basket, or a 3 point basket, t. He scored a total of 151 points. Write a system of equations to figure out how many baskets of each type that he scored.

A)w + t = 151
2w + 3t = 65

B)w + t = 65
2w + 3t = 151

C)w - t = 65
2w + 3t = 151

D)w + t = 65
2w - 3t = 151

Answer 1

The correct system would be B

Explanation:

The reason that it is B, is that we would first need an equation for the total number of baskets he made. In this one, we need the two pointers added to the three pointers to get the total of 65

w + t = 65

The second equation needs to be the total number of points (151). That should be equal to the value of the shot times the amount of them made.

2w + 3t = 151

This is option B, and is therefore the answer.