Question

Mr. Frankel bought 7 tickets to a puppet show and spent $31. He bought a combination of child tickets for $3
cach and adult tickets for $8 cach. Which system of equations below will determine the number of adult
tickets, a, and the number of child tickets, c, he bought?

Answer 1

5 children tickets and 2 adult tickets were bought

Step-by-step explanation:

Let the no. of child tickets be 'c'

Let the no. of adult tickets be 'a'

Total tickets = 7

Total cost = $31

Cost per adult ticket = $8

Cost per child ticket = $3

The equation ,

3c + 8a = 31

a + c = 7

a = 7 - c

3c + 8a =31

3c + 8(7-c) =31

3c + 56 - 8c = 31

-5c = -25

c = 5

a = 7 -5

a = 2

5 children tickets and 2 adult tickets were bought