Problema Solution
There are 7000 seats in stadium
Box seats cost $6.00, Grandstand cost $4.00, and Bleachers cost $2.00
When all seats are sold the revenue is $26,400
Box seats are 1/3 the amount of bleachers
how many of each type of seats are there?
Answer provided by our tutors
Let
x = the number of Box seats
y = the number of Grandstand
z = the number of Bleachers
There are 7000 seats in stadium:
x + y + z = 7000
When all seats are sold the revenue is $26,400:
6x + 4y + 2z = 26400
Box seats are 1/3 the amount of bleachers:
x = (1/3)z
We have the following system of equations:
x + y + z = 7000
6x + 4y + 2z = 26400
x = (1/3)z
........
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........
x = 400 box seats
y = 5,400 grandstand seats
z = 1,200 bleachers
There are 400 box seats, 5,400 grandstand seats and 1,200 bleachers.