SOLUTION: A movie theater charges $7.50 for adults and $4.50 for children. The receipts for one showing of a movie were $540 If 80 tickets were sold find how many tickets of each type were s

Question 222437: A movie theater charges $7.50 for adults and $4.50 for children. The receipts for one showing of a movie were $540 If 80 tickets were sold find how many tickets of each type were sold.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Let

represent the number of adult tickets sold. Let

represent the number of child tickets sold. Since adult tickets cost $7.50 each,

is the amount of money collected for adult tickets. Likewise,

is the amount of money collected for child tickets.

Now you can create a system of equations, one equation for the number of tickets sold and one equation for the value of the tickets sold:

Solve the system for

and

. Since the coefficients in Equation 1 are both 1, I recommend the substitution method.

John

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