SOLUTION: one evening 1600 concert tickets were sold. tickets cost $25.00 for pavilion seats and $15.00 for lawn seats. total receipts were $32, 000. how many tickets of each type were sold?

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: one evening 1600 concert tickets were sold. tickets cost $25.00 for pavilion seats and $15.00 for lawn seats. total receipts were $32, 000. how many tickets of each type were sold?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 990569: one evening 1600 concert tickets were sold. tickets cost $25.00 for pavilion seats and $15.00 for lawn seats. total receipts were $32, 000. how many tickets of each type were sold?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
one evening 1600 concert tickets were sold. tickets cost $25.00 for pavilion seats and $15.00 for lawn seats. total receipts were $32, 000. how many tickets of each type were sold?
---
Quantity Eq:: P + L = 1600 tickets
Value Eq:::: 25P+15L = 32000 dollars
---------------------------------
Modify for elimination::
3P + 3L = 4800
5P + 3L = 6400
-----
Subtract and solve for "P"::
2P = 1600
P = 800 (# of Pavilion tickets sold)
L = 800 (# of Lawn tickets sold)
Cheers,
Stan H.
-----------