There were 339 tickets purchased for a major league baseball

There were 339 tickets purchased for a major league baseball game. The general admission tickets cost $6.50 and the upper box tickets cost $10.00. The total amount of money spent was $2903.50. How many of each kind of ticket were purchased?

Solution

let x be the number of general admission tickets

y be the number of upper box tickets

total number of tickets = 339

==> x + y = 339 ----------- (1)

cost of each general admission ticket = $6.50

==> cost of x tickets = 6.50x

cost of each upper box ticket = $10.00

==> cost of y tickets = 10y

total money spent on tickets = $2903.50

==> 6.5x + 10y = 2903.5 ------- (2)

solving (1) and (2)

10*(1) - (2) ==> 10 x + 10y - (6.5x + 10y ) = 3390 - 2903.5

==> 10x + 10y - 6.5x - 10y = 486.5

==> 3.5x = 486.5

==> x = 486.5/3.5

==> x = 139

==> y = 339 - 139

==> y = 200

Hence general admission tickets are 139

upper box ickets are 200