Problema Solution
There were 417 tickets sold for a game. cardholders tickets cost 1.25 and non card holders tickets cost 2.00. the total amount collected was 545.25. how many of each kind of ticket was sold?
Answer provided by our tutors
let
c = the number of cardholder tickets sold
n = the number of non carholder tickets sold
There were 417 tickets sold for a game:
c + n = 417
The total amount collected was $545.25:
1.25c + 2.00n = 545.25
by solving the system of equations:
c + n = 417
1.25c + 2.00n = 545.25
we find
c = 385 cardholders tickets
n = 32 non-cardholders tickets
click here to see the step by step solution of the system of equations
there were 385 cardholders and 32 non-cardholders tickets sold.