SOLUTION: Joe bought seven movie tickets. Adult tickets are $8 and children tickets are $5. Joe spend a total of $44. How many adult tickets did he buy? How many children’s tickets?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Joe bought seven movie tickets. Adult tickets are $8 and children tickets are $5. Joe spend a total of $44. How many adult tickets did he buy? How many children’s tickets?      Log On


   

Question 1099665: Joe bought seven movie tickets. Adult tickets are $8 and children tickets are $5. Joe spend
a total of $44. How many adult tickets did he buy? How many children’s tickets?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = number of adult tickets bought
Let +b+ = number of children's tickets bought
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(1) +a+%2B+b+=+7+
(2) +8a+%2B+5b+=+44+
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Multiply both sides of (1) by +5+
and subtract (1) from (2)
(2) +8a+%2B+5b+=+44+
(1) +-5a+-+5b+=+-35+
------------------------
+3a+=+9+
+a+=+3+
and
(1) +a+%2B+b+=+7+
(1) +3+%2B+b+=+7+
(1) +b+=+4+
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3 adult tickets and
4 children's tickets
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check:
(2) +8a+%2B+5b+=+44+
(2) +8%2A3+%2B+5%2A4+=+44+
(2) +24+%2B+20+=+44+
(2) +44+=+44+
OK