Problema Solution
The school that Dan goes to is selling tickets to the annual talent show. On the first day the school sold 2 senior citizen tickets and 7 child tickets for a total of $121. The school took in $215 on the second day by selling 10 senior citizen tickets and 5 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.
Answer provided by our tutors
let
s = the price of a senior citizen ticket
c = the price of a child ticket
On the first day the school sold 2 senior citizen tickets and 7 child tickets for a total of $121
2s + 7c = 121
The school took in $215 on the second day by selling 10 senior citizen tickets and 5 child tickets
10s + 5c = 215
by solving the system of equations
2s + 7c = 121
10s + 5c = 215
we find
s = $15
c = $13
click here to see the step by step solution of the system of equations
the price of a senior ticket is $15.
the price of a child ticket is $13.