SOLUTION: In a basketball game, a team can score either 1, 2 or 3 points by throwing the ball through a hoop. Our team throws the ball through the hoop 50 times and scores 80 points. What is

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Question 314472: In a basketball game, a team can score either 1, 2 or 3 points by throwing the ball through a hoop. Our team throws the ball through the hoop 50 times and scores 80 points. What is the largest possible number of 3-point throws our team made?
(A) 5 (B) 10 (C) 15 (D) 20 (E) Not enough information
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Since we want to maximize the number of 3 point baskets, the other baskets must be 1 pointers.
Let x be the number of 1 point baskets.
Then the number of 3 point baskets is 50-x
Then 1 point baskets plus the 3 point baskets total 80 points. So
x+%2B+3%2850-x%29+=+80
x+%2B+150+-3x+=+80
-2x+=+-70
x+=+35
The number of 1 point baskets is 35.
The number of 3 pointers is 50-x+=+50-35+=+15
Check your answer
Does 15*3 + 35 = 80?