Question

There were 169 tickets 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 $1795.00. How many of each kind of ticket were purchased?

Answer 1

• 42 lower box
• 127 upper box

Explanation:

You want the number of tickets of each kind sold if 169 tickets were sold for $1795, and lower box tickets were $12.50 while upper box tickets were $10.

Setup

Let x represent the number of lower box tickets sold. Then 169 -x is the number of upper box tickets sold. The total revenue is ...

12.50(x) + 10.00(169 -x) = 1795.00

Solution

Simplifying, we get

2.50x +1690 = 1795

2.5x = 105 . . . . . . . . . . . subtract 1690

x = 42 . . . . . . . . . . . . divide by 2.5; the number of lower box ticket sold

169 -42 = 127 . . . . . . the number of upper box tickets sold

42 lower box and 127 upper box tickets were purchased.