SOLUTION: Three hundred people attended a band concert. Reserved seat tickets were sold at 100 dollars each while general admission tickets cost 60 dollars each. If the sales totalled 26,

Algebra.Com
Question 889978: Three hundred people attended a band concert. Reserved seat tickets were sold at 100 dollars each while general admission tickets cost 60 dollars each. If the sales totalled 26,000 dollars, how many tickets of each type were sold?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Three hundred people attended a band concert. Reserved seat tickets were sold at 100 dollars each while general admission tickets cost 60 dollars each. If the sales totalled 26,000 dollars, how many tickets of each type were sold?
-------------
Quantity Eq:: g + r = 300
Value Eq:: 60g+100r = 26000
-------------------------------------
Modify:
3g + 3r = 3*300
3g + 5r = 1300
------
Subtract and solve for "r":
2r = 400
r = 200 (# of reserved tickets sold)
g = 300 - r = 100 (# of general admission tickets sold)
----------------
Cheers,
Stan H.
-------------------

RELATED QUESTIONS

receipts for a concert attended by 450 people were $2,775. If reserved seat tickets were... (answered by mananth)
Assistanace please.... Receipts for a concert attended by 450 people were $27, 750. If (answered by josmiceli)
For a concert, Ticket Master sold many tickets. The total money collected afeter the... (answered by richwmiller)
The gate receipts at the opening state university football game were $133,372. A total of (answered by stanbon)
There are two types of tickets available for a concert. The reserved-seat tickets cost... (answered by checkley71)
Football tickets cost $4 for a reserved seat and $3 for general admission. The total gate (answered by ewatrrr)
Please help me solve this word problem. Write a system of the questions and then... (answered by Theo)
reserved seat tickets for the football game cost $4.00 each and general admission tickets (answered by nihar*2013)
Write a system of equations and then solve by the method of your choice. Reserved seat... (answered by ikleyn)