Problema Solution
A local theater sells tickets for children, adults, and senior citizens. Adult tickets are $8.00, children's tickets are $4.00, and senior tickets are $6.00. One day the theater sells 700 tickets and makes $4580.00. The sum of the number of children's tickets sold and twice the amount of senior tickets sold is 50 less than the amount of adult tickets sold. How many of each ticket are sold?
Answer provided by our tutors
let
c = the number of children tickets sold
a = the number of adult tickets sold
s = the number of senior tickets sold
One day the theater sells 700 tickets and makes $4580.00.
a + c + s = 700
8a + 4c + 6s = 4580
The sum of the number of children's tickets sold and twice the amount of senior tickets sold is 50 less than the amount of adult tickets sold:
c + 2s = a - 50
by solving the system of equations:
a + c + s = 700
8a + 4c + 6s = 4580
c + 2s = a - 50
we find:
a = 410 adult tickets
c = 220 children tickets
s = 70 senior tickets
click here to see the step by step solution of the system of equations:
there are 410 adult, 220 children and 70 senior tickets sold.