SOLUTION: a jazz concert brought in $113,000 on the sale of 7,200 tickets. If the tickets sold for $10 and $20 each, how many of each type of ticket were sold?

Question 1018922: a jazz concert brought in $113,000 on the sale of 7,200 tickets. If the tickets sold for $10 and $20 each, how many of each type of ticket were sold?
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Hi there,
Make $10 = 'x'
$20 tickets = 'y'
x + y = 7,200......(1)
10x + 20y = 113000...(2)
Multiply (1) by 10
10x + 10y = 72000....(1)
10x + 20y = 113000...(2)
Subtract (1) from (2)
.....10y = 41,000
.......y = 4,100
Substitute y = 4,100 in (1)
x + y = 7,200....(1)
x + 4,100 = 7,200
x = 7,200 - 4,100
x = 3,100
3,100 x $10 tickets
4,100 x $20 tickets
Hope this helps :-)

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