SOLUTION: 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

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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?
Answer by stanbon(75887) About Me  (Show Source):
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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.