A theater has a seating capacity of 1050 and charges $5 for children, $7 for students, and $9 for adults. At a certain screening with full attendance, there were half as many adults as children and students combined. The receipts totaled $7650. How many children attended the show?

Answer 1

so adults were 1/3 and young people were 2/3

(9 * 350) + [7 (700 - c)] + 5 c = 7650

Answer 2

12