The number of adult tickets sold was 1/3 of the number of children tickets sold. if adult tickets are $8.50, and children tickets were $5.50.

Question

what was the greatest number of adult tickets sold if the box office receipts was not more than $3,190?

Answer 1

x is the number of adult tix

y is the number of children tix

x=y/3

8.50* (y/3) + 5.50 * y = 3190

8.5y + 16.5y = 9570

25y = 9570

y = 382.8

x = 382.8/3=127.6

check (127.6)(8.5) + 382.8* 5.5 = 3190