SOLUTION: At a basketball​ game, a team made 53 successful shots. They were a combination of​ 1-point and​ 2-point shots. The team scored 91 points in all. Write and solve

Algebra ->  Equations -> SOLUTION: At a basketball​ game, a team made 53 successful shots. They were a combination of​ 1-point and​ 2-point shots. The team scored 91 points in all. Write and solve       Log On


   



Question 1109502: At a basketball​ game, a team made 53 successful shots. They were a combination of​ 1-point and​ 2-point shots. The team scored 91 points in all. Write and solve a system of equations to find the number of each type of shot.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = number of 1 point shots
Let +b+ = number of 2 point shots
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(1) +a+%2B+b+=+53+
(2) +1%2Aa+%2B+2%2Ab+=+91+
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Subtract (1) from (2)
(2) +a+%2B+2b+=+91+
(1) +-a+-+b+=+-53+
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+b+=+38+
and
(1) +a+%2B+38+=+53+
(1) +a+=+15+
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There were 15 1-point shots and
38 2-point shots
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check:
(2) +a+%2B+2b+=+91+
(2) +15+%2B+76+=+91+
(2) +91+=+91+
OK