Question

There are 379 tickets purchased for a Major League Baseball game. The lower box tickets cost $12.50 and the upper box tickets cost $10. The total amount of money spent was $4477.50. How many of each kind of ticket were purchased ?

Answer 1

let
x-------> amount of the lower box tickets
y-------> amount of the upper box tickets

we know that
x+y=379-----> x=379-y------> equation 1
12.5x+10y=4477.50------> equation 2

substitute equation 1 in equation 2
12.5*[379-y]+10y=4477.50----> 4737.5-12.5y+10y=4477.50
2.5y=260-----> y=104
x=379-y----> x=379-104-----> x=275

the answer is
275 tickets of the lower box
104 tickets of the upper box