Problema Solution
The owner of a movie theater was counting money from one days ticket sales. He knew that the total of 150 tickets were sold. Adult tickets costs $7.50 each and children tickets cost $4.75 each. If the total receipts for the day were $891.25, how many of each kind of ticket were sold?
Answer provided by our tutors
let
a = the number of adult tickets sold
c = the number of children tickets sold
he knew that the total of 150 tickets were sold
a + c = 150
the money from the adult tickets + the money from the children ticket = total receipts for the day
7.50a + 4.75c = 891.25
by solving the system of equations
a + c = 150
7.50a + 4.75c = 891.25
we find
a = 65 tickets
b = 85 tickets
click here to see the step by step solution of the system of equations
there were 65 adult tickets sold and 85 children tickets sold.