Question

John shot 67 baskets that were worth 2 or 3 points each. He made a total of 160 points. How many of each type of basket did John make? Hint* Set up a system of equations.

Answer 1

Let x = 2 point baskets
Let y = 3 point baskets

2x + 3y = 160
x + y = 67

Solving the above equations by eliminating x:

2x + 3y = 160
-2x - 2y = -134

y = 26
x = 41

Therefore, 26 three-point baskets and 41 two-point baskets were made