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

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
RELATED QUESTIONS
When Red Cubs played against the Archers,15 000 seats were sold.A reserved seat cost... (answered by lwsshak3)

For a concert, Ticket Master sold many tickets. The total money collected afeter the... (answered by richwmiller)

41,000 people attended a ballgame at a stadium that offers two kinds of seats: general... (answered by Earlsdon)

30,000 people attended a ballgame at a stadium that offers two kinds of seats: general... (answered by checkley77)

At a certain baseball park the reserved seats cost $1 and the other seats were 50 cents... (answered by mananth)

The attendance at a rock concert is 6700 people. The tickets for this concert cost $40... (answered by rfer)

members of the Benton Youth club attended a major-league baseball game. buying a total... (answered by ikleyn)

Solve this application problem using a system of equations: 40,000 people attended a... (answered by josgarithmetic)

All 120 seats in a hall were filled for a concert. The tickets cost $10 for adults and $6 (answered by Gogonati)