Question

There were

389389

tickets purchased for a major league baseball game. The

general admissiongeneral admission??

tickets cost

?$6.506.50

and the

upper boxupper box

tickets cost

?$10.0010.00.

The total amount of money spent was

?$2777.002777.00.

How many of each kind of ticket were? purchased?

Answer 1

Answer: The general admission tickets=318 and upper box ticket=71

Explanation: let the number of general admission ticket=x and number of upper box ticket=y. So,

x+y=389 ------------------------------------ (1)

Now, the general admission ticket costs $6.50 and upper box ticket cost $10.00 and total cost=$2777.00. So,

6.50*x+10.00*y=2777.00

6.5x+10y=2777 --------------------------------- (2)

Substitute y=389-x from eqn 1 into eqn 2.

6.5x+10(389-x)=2777

6.5x+3890-10x=2777

-3.5x+3890=2777

-3.5x=2777-3890

-3.5x=-1113

3.5x=1113

x=1113/3.5

x=318

Now, substitute x=318 into eqn 1.

318+y=389

y=389-318

y=71

Hence, number of tickets for general admission=318 and number of tickets for upper box=71