Problema Solution
for a concert there were 206 more tickets sold at the door than there were in advance. the tickets sold at the door cost $10.00 and the tickets bought in advance cost $6.00. the total amount of sales for both types of tickets was $6828.00 how many of each type of ticket was sold?
Answer provided by our tutors
let
a = the number of tickets bought in advance
d = the number of tickets sold at the door
for a concert there were 206 more tickets sold at the door than there were in advance:
d = 206 + a
the total amount of sales for both types of tickets was $6828.00:
6a + 10d = 6828
by solving the system of equations:
d = 206 + a
6a + 10d = 6828
we find:
a = 298 tickets sold in advance
d = 504 tickets sold at the door
click here to see the step by step solution of the system of equations:
there were 298 tickets sold in advance and 504 tickets sold at the door.