SOLUTION: A local movie theater charges $6 for each adult ticket and $3.50 for each child ticket. If the theater sold a total of 65 adult and child tickets for a total of $340 , how many adu

Question 948890: A local movie theater charges $6 for each adult ticket and $3.50 for each child ticket. If the theater sold a total of 65 adult and child tickets for a total of $340 , how many adult tickets were sold?

Answer by Zucchini(70) (Show Source): You can put this solution on YOUR website!
It's a system of equations.
X + y = 65
6x + 3.50y = 340.
What I did was make "x" as the number of adult tickets and "y" the number of child tickets. The first equation shows the number of tickets sold and the second equation shows how much money was made.
So, y= -x + 65. Now, let's plug that into the other equation.
6x + 3.50(-x + 65) = 340. Now, solve that. You get 2.5x = 112.5.
So, x= 45. So, 45 adult tickets were sold.
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