There were 501 tickets purchased for a major league baseball

There were 501 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 $5392.

How many Upper box tickets were purchased:

How many lower boxlower box tickets were purchased:

Solution

let upper box tickets purchased = x

lower box tickets purchased = y

framing equations from the inormation given

x + y = 501

10x + 12.50y = 5392

solving the two equations for x and y

from equation 1

x = 501 - y

plugging this value os x into 2nd equation

10(501-y) + 12.50y = 5392

5010 - 10y + 12.50y = 5392

2.50y =382

y = 152.8

x = 348.2

therefore, upper box tickets purchased = 348 and lower box tickets purchased = 153 approximately