Question

In a basketball game, a regular basket was worth 2 points and a long-distance basket was worth 3 points. If there were 45 baskets in a game and 96 points total, how many regular baskets r and long-distance baskets l were made? Show the correct system of equations.

Answer 1

number of 2 point baskets --- x
number of 3 point baskets --- 45-x

2x + 3(45-x) = 96
2x + 135 - 3x = 96
-x = -39
x = 39

39 2pointers, and 6 3pointers

check:
39(2) + 6(3) = 96
39+6 = 45
Yeahh