SOLUTION: There were 345 tickets purchased for a major league baseball game. The lower reserved tickets cost $9.50 and the upper reserved tickets cost $8.00. The total amount of m
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Question 1137198: There were 345 tickets purchased for a major league baseball game. The lower reserved tickets cost $9.50 and the upper reserved tickets cost $8.00. The total amount of money spent was $2809.50. How many of each kind of ticket were purchased? Answer by ikleyn(52775) (Show Source):
Let x = # of lower reserved tickets, y = # of upper reserved tickets.
From the condition, you have these 2 equations
x + y = 345 (1) (counting tickets)
9.50*x + 8.00*y = 2809.50 (2) (counting money)
From equation (1), express y = 345 - x and substitute it into equation (2), You will get
9.50x + 8*(345-x) = 2809.50.
Express x and calculate answer
x = = 33.
Then from equation (1), y = 345 - 33 = 312.
ANSWER. 33 lower reserved tickets and 312 upper reserved tickets.
CHECK. 33*9.50 + 312*8 = 2809.50 dollars. ! Correct !
The problem solved using 2-equation setup and the Substitution method.
