The Concordia Theatre contains 500 seats and the ticket prices for a recent play were $43 for adults and $28 for children. For one matinee, if the total proceeds were $16,805, how many of each type of ticket were sold?
I’m lost….. Please show me process and steps
3 Answers
Let A = # of adult tickets sold
Let C = # of children tickets sold
You didn’t say it was a sold out matinee, but it should be assumed:
A + C = 500
$43A + $28C + $16805
Rewrite the 1st equation to ready it for a substitution into the 2nd: A = 500-C
43(500-C) + 28C = 16805
21500 – 43C + 28C = 16805
4695 = 15C
C = 313 <——- # children tickets
A = 500-313 = 187 <——- # of adults tickets
Concordia Theater
Concordia Theatre