SOLUTION: A total of 1096 people attended the concert at the County Fair. Reserved seats cost $25.00 eac and unreserved seats cost $20.00 each. If $26,170.00 was collected, how many of eac
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Question 29976: A total of 1096 people attended the concert at the County Fair. Reserved seats cost $25.00 eac and unreserved seats cost $20.00 each. If $26,170.00 was collected, how many of each type of ticket was sold? Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! r = # reserved seats sold
u = # unreserved seats sold
r + u = 1096
(25 x r) + (20 x u) = 26170
substitute
r = 1096 - u
(25 x (1096 - u)) + (20 x u) = 26170
27400 - 25u + 20u = 26170
-5u = 26170 - 27400
-5u = -1230
u = 246
r = 1096 - u
r = 850
check
(25 x 850) + (20 x 246) = 26170
21250 + 4920 = 26170
26170 = 26170
OK
