SOLUTION: The basketball team recently scored a total of 92 points on a combination of 2-point field goals, 3-point field goals, and 1-point foul shots. Altogether, the team made 50 baskets

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Question 1024172: The basketball team recently scored a total of 92 points on a combination of 2-point field goals, 3-point field goals, and 1-point foul shots. Altogether, the team made 50 baskets and 19 more 2-pointers than foul shots. How many shots of each kind were made ?
If you could show me how to set the problem up, that would be great.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let X be number of 2 point goals, Y 3 point goals, Z foul goals,
.
.
.
Number of points,
2X%2B3Y%2BZ=92
.
.
Number of baskets,
X%2BY%2BZ=50
.
.
Comparison,
Z=Y%2B19