Question

Kelly's basketball team made a total of 33 two point and three point baskets in their game last week. If her team scored a total of 72 points, how many two point baskets did they make

Answer 1

Set up a system of equations

x + y = 33
2x + 3y = 72

If we change x + y = 33 into x = 33 - y we can plug this in as x in the second equation

2(33 - y) + 3y = 72
66 - 2y + 3y = 72
66 + y = 72
y = 6

Now plug in y into one of the original equations

x + 6 = 33
x = 27

27 two-point baskets made