SOLUTION: 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 wre half as many adults

Question 339215: 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 wre half as many adults as children and students combined. the receipts totaled $5600. how many children attended the show?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let number of children attending =
Let number of students attending =
Let number of adults attending =
given:
Receipts from children =
Receipts from students =
Receipts from adults =
(1)
There was full attendance, so
(2)
(3)
--------------------------
There are 3 equations and 3 unknowns, so
it should be solvable
From (3):
(3)

Now substitute into (2)
(2)

From (1):
(1)

From above,

And by subtraction:

and,

There were:
200 children
400 students
300 adults
check answer:
(1)
(1)
(1)

OK

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