A theater has a seating capacity of 900 and charges $4 for children, $6 for students, and $8 for adults. At a certain screening with full attendance, there were half as many adults as children and students combined. The receipts totaled $5600. How many children attended the show?

Question

Mathematics

Alena Russo

10 October, 13:35

A theater has a seating capacity of 900 and charges $4 for children, $6 for students, and $8 for adults. At a certain screening with full attendance, there were half as many adults as children and students combined. The receipts totaled $5600. How many children attended the show?

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Cristofer Bishop · Answer 1

If the total amount is 900, then it is possible that the amount of students is 600, and the amount of adults is 300, because 600/300=2. Then, if we multiply 300 by eight, we get 2400. 5,600 minus 2,400 equals 3200, so the amount of money the students and children would pay would be $3,200. 400 students and 200 children or vice versa sorry running out of time