SOLUTION: A basketball team recently scored a total of 88 points on a combination of 2-point field goals, 3-point field goals, and 1-point foul shots.Altogether the team made 51 baskets and

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Question 650953: A basketball team recently scored a total of 88 points on a combination of 2-point field goals, 3-point field goals, and 1-point foul shots.Altogether the team made 51 baskets and 14 more 2-pointers than foul shots. how many shots of each kind were made?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

 
Hi
51 baskets and 14 more 2-pointers than foul shots
1-point foul shots: x 17
2-point field goals: x + 14 31
3-point field goals: 51-x - (x+14)= (37-2x) 3
Question states***total of 88 points
x + 2(x+14) + 3(37-2x) = 88
x + 2x + 28 + 111 - 6x = 88
-3x = -51
x = 17
and..
17+%2B+2%2A31+%2B+3%2A3+=+88