A small theater sold 72 tickets for a

play. The ratio of adult tickets to child

tickets was 4:1. The ratio of adult

tickets to senior tickets was 4:3.

Number of child tickets = 9

Number of adult tickets = 36

Number of senior tickets = 27

Step-by-step explanation:

Given:

The ratio of adult tickets to child tickets = 4:1

Ratio of adult tickets to senior tickets = 4:3

Number of total tickets = 72

Find:

The number of each ticket.

Computation:

Ratio between Adult to senior to child = 4:3:1

So,

Number of child tickets = [1 / (4+3+1) ]Total tickets

Number of child tickets = [1 / (8) ]72

Number of child tickets = 9

Number of adult tickets = [4 / (4+3+1) ]Total tickets

Number of adult tickets = 36

Number of senior tickets = [3 / (4+3+1) ]Total tickets

Number of senior tickets = 27