How many kind of tickets were purchased?

Question

There were 676 tickets purchased for a major baseball game. The general admission tickets cost $6.50 and the upper reserved tickets cost $8.00. The total amount of money spent was $4902.50.how many of each kind of ticket were purchased?

Answer 1

g + u = 676

6.5g + 8u = 4902.5

 

First, solve the top for g or u. Let's do u.

 

u = 676 - g

 

Now, since the two sides are equal, we can swap them out for each other.

 

6.5g + 8(676 - g) = 4902.5

6.5g + 5408 - 8g = 4902.5

-1.5g = -505.5

g = 337

 

u = 676 - 337

u = 339