Question 1125416: Please help me set this up and solve it, than kyou so much.
One evening 1600 concert tickets were sold for the Fairmont Summer Jazz Festival. Tickets cost $20 for covered pavilion seats and $10 for lawn seats. Total receipts were $22,000. How many tickets of each type were sold?
How many pavilion seats were sold?
____
Lawn seats?___
Found 2 solutions by josgarithmetic, math_helper:
Answer by josgarithmetic(39630)   (Show Source):
You can put this solution on YOUR website! p, covered pavillion seats
L, Lawn seats
Solve any way you want or need.
You might be able to see the simplified system step in your head, p=600.
(and therefore L=1000).
Answer by math_helper(2461)  (Show Source):
You can put this solution on YOUR website! You are looking for two equations (two equations are needed to solve for two unknowns).
Let L=number of lawn seat tickets, and
C=number of covered pavilion tickets
The first equation comes from the number of concert tickets sold:
(1) L + C = 1600
The 2nd equation comes from the total receipts, using the cost per ticket info:
(2) 10L + 20C = 22000
There are many ways to solve this system (e.g. matrices, substitution, etc.). I'll just multiply the first equation by 10 then subtract that result from the bottom equation:
10L + 20C = 22000
- (10L + 10C = 16000)
0L + 10C = 6000
C=600 —> L=1000 (from eq(1))
Ans:  covered pavilion tickets and
 lawn seat tickets were sold
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