Problema Solution
The school that scott goes to is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 7 adult tickets and 5 child tickets for a total of $103. The school took in $176 on the second day by selling 14 adult tickets and 8 child tickets. Find the price of an adult ticket and the pricr of a child ticket.
Answer provided by our tutors
let
a = the price of adult ticket
c = the price of child ticket
On the first day of ticket sales the school sold 7 adult tickets and 5 child tickets for a total of $103:
7a + 5c = 103
The school took in $176 on the second day by selling 14 adult tickets and 8 child tickets:
14a + 8c = 176
by solving the system of equations:
7a + 5c = 103
14a + 8c = 176
we find:
a = $4
c = $15
click here to see the step by step solution of the system of equations:
the price of an adult ticket is $4.
the price of a child ticket is $15.