Problema Solution
“A college production of Chicago sold 400 tickets. There were three levels of tickets, Level A at $8, Level B at $10, and Level C at $12, and the total income from tickets sales was $3700. The combined number of Level A and B tickets sold was 7 times the number of Level C tickets.
Answer provided by our tutors
let
a = the number of Level A tickets sold
b = the number of Level B tickets sold
c = the number of Level C tickets sold
A college production of Chicago sold 400 tickets:
a + b + c = 400
There were three levels of tickets, Level A at $8, Level B at $10, and Level C at $12, and the total income from tickets sales was $3700:
8a + 10b + 12c = 3700
The combined number of Level A and B tickets sold was 7 times the number of Level C tickets:
a + b = 7c
by solving the system of equations:
a + b + c = 400
8a + 10b + 12c = 3700
a + b = 7c
we find:
a = 200 tickets
b = 150 tickets
c = 50 tickets
click here to see the step by step solution of the system of equations:
There were 200 Level A, 150 Level B and 50 Level C tickets sold.