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.

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.

gw2011 · Answer

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