Question 44430
A college basketball team made 40 field goals in a recent game, some 2 pointers and the rest 3 pointers.  Altogether the 40 baskets counted for 89 points.  How many of each type of field goal was made?

Let number of 3 pointers be "x"
Then number of 2 pointers must be "40-x"
Number of points from 3 pointers = 3x
Number of points from 2 pointers = 2(40-x)=80-2x

EQUATION:
pts. + pts. = 89
3x+80-2x = 89
x=9 (number of 3 pointers)
40-x=31 (number of 2 pointers)

Cheers,
stan H.