How many of each type of ticket did the theater sell? Write the solution in a complete sentence.

Question

Tickets for a matinee are $5 for children and $8 for adults. The theater sold a total of 142 tickets for one matinee. Ticket sales were $890. How many of each type of ticket did the theater sell? Write the solution in a complete sentence.

Answer 1

Let c be the number of children tickets and a be the number of adult tickets sold.

c + a = 142 --> c = 142-a

5c + 8a = 890

Substituting for c

5(142-a) +8a = 890

710 -5a +8a = 890

3a = 890 -710 = 180

a = 180/3 = 60

c = 142-60 = 82

82 children tickets and 60 adult tickets were sold.