Problema Solution
There were 417 tickets sold for a basketball game. The activity cardholders' tickets cost $1.50 and the non-cardholders' tickets cost $2.50. The total amount of money collected was $929.50.How many of each kind of ticket was sold?
Answer provided by our tutors
let
a = number of activity cardholders' tickets
n = number of non-cardholders' tickets
There were 417 tickets sold for a basketball game:
a + n = 417
The total amount of money collected was $929.50:
1.50a + 2.50n = 929.50
by solving the system of equations
a + n = 417
1.50a + 2.50n = 929.50
we find
a = 113 activity cardholders' tickets
n = 304 on-cardholders' tickets
click here to see the solution of the system of equations