SOLUTION: At the movie theatre, child admission is 5.30 an adult admission is 9.10. On Monday, 159 tickets were sold for a total sales of 1120.10, how many adult tickets were sold that day?

Question 272479: At the movie theatre, child admission is 5.30 an adult admission is 9.10. On Monday, 159 tickets were sold for a total sales of 1120.10, how many adult tickets were sold that day?
Answer by dabanfield(803) (Show Source): You can put this solution on YOUR website!
At the movie theatre, child admission is 5.30 an adult admission is 9.10. On Monday, 159 tickets were sold for a total sales of 1120.10, how many adult tickets were sold that day?
Let a be the number of adult tickets and c the number of children's tickets. Then we have:
1.) a + c = 159
2.) 9.10*a + 5.30*c = 1120.10
From 1.) we have a = 159 - c.
Substitute 159 - c for a in equation 2.)and solve for c:
9.10*(159-c) + 5.30*c = 1120.10
Once the value for c is determined then a = 159 - c.
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