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Urban Music 2000 Forums - Music Community » Music » Events » A total of 150 tickets were sold to kids and adults for the annual concert.?

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Events Thread, A total of 150 tickets were sold to kids and adults for the annual concert.? in Music; Kids tickets were $5 each, and Adult tickets were $8 each. If the total revenue from the concert ticket sales ...
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Old 10-22-2008, 06:45 PM   #1
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Default A total of 150 tickets were sold to kids and adults for the annual concert.?

Kids tickets were $5 each, and Adult tickets were $8 each. If the total revenue from the concert ticket sales was $930, then how many tickets of each type were sold?


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Old 10-22-2008, 07:02 PM   #2
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5x + 8y = 930 <--cost of each ticket
- (x + y = 150) <---number of each ticket

1. Find for tickets sold at $8 each by using system of operations:

5x + 8y = 930
- (x + y = 150) (subtract, but first find a common x, so multiply bottom by 5)

2. You now have: (Now, find y..number of $8 tickets)
5x + 8y = 930
-5x - 5y = -750(multiply everything by 5 and then subtract)
____________
3y = 180 (x cancels out)

y = 60 tickets at $8 each
150 - 60 = 90 tickets at $5 each

Answer: 90 tickets at $5 each = $450
60 tickets at $8 each = $480

$450 + $480 = $930

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