SOLUTION: adult tickets to play cost $22. TIckets for children cost $15. TIckets for a group of 11 people cost a total of $228. Write and solve a system of equations to find how many childre

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Question 1059141: adult tickets to play cost $22. TIckets for children cost $15. TIckets for a group of 11 people cost a total of $228. Write and solve a system of equations to find how many children and how many adults were in the group
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = number of adults
Let +b+ = number of children
-------------------------------
(1) +a+%2B+b++=+11+
(2) +22a+%2B+15b+=+228+
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To solve, multiply both sides of (1) by +15+
and subtract (1) from (2)
(2) +22a+%2B+15b+=+228+
(1) +-15a+-+15b+=+-165+
--------------------------
+7a+=+63+
+a+=+9+
and
(1) +a+%2B+b++=+11+
(1) +9+%2B+b+=+11+
(1) +b+=+2+
There are 2 children and 9 adults