SOLUTION: The Fenton College Cougars made 40 field goals in a recent basketball game, some 2-pointers and the rest 3-pointers. Altogether the 40 baskets counted for 89 points. How many of

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: The Fenton College Cougars made 40 field goals in a recent basketball game, some 2-pointers and the rest 3-pointers. Altogether the 40 baskets counted for 89 points. How many of       Log On

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Question 45103: The Fenton College Cougars made 40 field goals in a recent basketball 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 Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
three-pointers: b
two-pointers: s
Equations:
b+%2B+s+=+40
and
3b+%2B+2s+=+89
Combine:
-2b+-+2s+=+-80
+
3b+%2B+2s+=+89
=
b+=+9
Remember: b+%2B+s+=+40 : 9+%2B+s+=+40
s+=+31