SOLUTION: what is the answer to this word problem? In the basketball league Ivy belongs to, 2 points are awarded for every shot made and 3 points are deducted for every shot missed. In one g

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Question 890093: what is the answer to this word problem? In the basketball league Ivy belongs to, 2 points are awarded for every shot made and 3 points are deducted for every shot missed. In one game, Ivy took 40 shots but scored 0 point. How many shots did she make? How many did she miss?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = the number of shots she made
+40+-+x+ = the number of shots she missed
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I can say:
+2x+-+3%2A%28+40+-+x+%29+=+0+
+2x+-+120+%2B+3x+=+0+
+5x+=+120+
+x+=+24+
and
+40+-+x+=+40+-+24+
+40+-+x+=+16+
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She made 24 shots
She missed 16 shots
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check:
+2x+-+3%2A%28+40+-+x+%29+=+0+
+2%2A24+-+3%2A%28+40+-+24+%29+=+0+
+48+-+3%2A16+=+0+
+48+-+48+=+0+
+0+=+0+
OK