SOLUTION: It cost a family of 7 a total of $373 for general admission to the San Diego Zoo. If each adult ticket cost $59, and each child ticket cost $49, how many adult tickets and how many

Algebra ->  Systems-of-equations -> SOLUTION: It cost a family of 7 a total of $373 for general admission to the San Diego Zoo. If each adult ticket cost $59, and each child ticket cost $49, how many adult tickets and how many      Log On


   



Question 836345: It cost a family of 7 a total of $373 for general admission to the San Diego Zoo. If each adult ticket cost $59, and each child ticket cost $49, how many adult tickets and how many child tickets were purchased?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = number of adult tickets
Let +b+ = number of child tickets
--------------------------------
(1) +a+%2B+b+=+7+
(2) +59a+%2B+49b+=+373+
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Multiply both sides of (1)
by +49+ and subtract (1) from (2)
(2) +59a+%2B+49b+=+373+
(1) +-49a+-+49b+=+-343+
+10a+=+30+
+a+=+3+
and
(1) +a+%2B+b+=+7+
(1) +b+=+4+
3 adult tickets were purchased
4 child tickets were purchased
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check:
(2) +59%2A3+%2B+49%2A4+=+373+
(2) +177+%2B+196+=+373+
(2) +373+=+373+
OK