SOLUTION: hockey tickets at a local rink costs 10 dollars for adults and 7 dollars for children under twelve. if 200 tickets were sold with cash receipts of 1550 dollars how many adult ticke
Question 1105671: hockey tickets at a local rink costs 10 dollars for adults and 7 dollars for children under twelve. if 200 tickets were sold with cash receipts of 1550 dollars how many adult tickets were sold? Found 2 solutions by rothauserc, greenestamps:Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! let x be the number of adult tickets and y be the number of children tickets sold, then
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1) x + y = 200
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2) 10x + 7y = 1550
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solve equation 1 for y
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y = 200 - x
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substitute for y in equation 2
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10x +7(200 - x) = 1550
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10x +1400 -7x = 1550
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3x = 150
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x = 50
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there were 50 adult tickets sold
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check the answer
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substitute 50 for x and 150 for y in equation 2
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10*50 + 7*150 = 1550
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500 + 1050 = 1550
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1550 = 1550
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:
(1) If all 200 tickets were children's tickets, the total sales would be $1400.
(2) The actual total sales was $1550, which is $150 more than that.
(3) Each adult ticket costs $3 more than each children's ticket.
(4) From (2) and (3), the number of adult tickets sold was 150/3 = 50.
