SOLUTION: A jazz concert brought in $191,000 on the sale of 7400 tickets, if tickets were sold for $20 and $30 each, how many of each type of ticket were sold?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A jazz concert brought in $191,000 on the sale of 7400 tickets, if tickets were sold for $20 and $30 each, how many of each type of ticket were sold?      Log On


   

Question 200360: A jazz concert brought in $191,000 on the sale of 7400 tickets, if tickets were sold for $20 and $30 each, how many of each type of ticket were sold?
Answer by nerdybill(7384) About Me  (Show Source):
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A jazz concert brought in $191,000 on the sale of 7400 tickets, if tickets were sold for $20 and $30 each, how many of each type of ticket were sold?
.
Let x = number of $20 tickets sold
then
7400-x = number of $30 tickets sold
.
20x + 30(7400-x) = 191000
20x + 222000 - 30x = 191000
20x - 30x = -31000
-10x = -31000
x = 3100 ($20 tickets)
.
$30 tickets:
7400-x = 7400-3100 = 4300 ($30 tickets)