formula to word problem

Question

There were 306 tickets purchased for a major league baseball game. The lower box tickets cost 12.50 and the upper box tickets cost 10.00. The total amount of money spent was 3340.00. How many of each kind of ticket were purchased? Lower? Upper?

Answer 1

You are going to end up with 2 formulas, which is good because you have 2 variables. The first one is based on how many tickets were sold. L is the amount of lower box tickets sold and u is the amount of upper box tickets.

 

L + U = 306

 

The next formula deals with the price.

 

L*12.5 + U*10 = 3340

 

If you solve for U in the first formula, you get:

 

U = 306 - L

 

You can put 306-L in to the second formula anywhere you see U, so you get:

 

L*12.5 + (306-L)*10 = 3340

 

Now, solve for L and you have how many lower deck tickets were sold. Plug that in to U = 306 - L and you find out how many upper deck tickets were sold.