finding x and y

Question

There were 440 tickets purchased for a major league baseball game. The general admission tickets cost $6.50 and the upper reserved tickets cost $8.00. The total

amount of money spent was $3095.50. How many of each kind of ticket were purchased?

Answer 1

G + R = 440

6.5G + 6.5R = 6.5(440) = 2860

6.5G + 8R = 3095.5

6.5G +6.5R =2860

1.5R = 235.5

R = 235.5/1.5 = 157 reserve tickets sold

G = 440-157 = 283 general admission tickets sold

6.5(283) + 8(157) = 1839.5 + 1256 = 3095.5