A family buys a total of 9 tickets. Adult tickets are $10.50 and children's are $6.75. They spend a total of $72.00. How many adults and how many children went to the movie?

Answer 1

A+C = 9

10.5A + 6.75C = 72

10.5A + 6.75(9-A) = 72

10.5A + 60.75 - 6.75A = 72

3.75A + 60.75 = 72

3.75A = 11.25

A=3

3 adult tickets cost 31.50

6 child tickets cost 40.50

The total is 9 tickets for 72

6 children went to the movie