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Meal tickets at the circus cost $4.00 for children and $12.00 for adults. If 1,650 meal tickets were bought for a total of $14,200, how many children and how many adults bought meal tickets? Just type the number of children followed by the number of adults with a comma in between.

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MechEngineer

Answer:

700 children tickets, 950 adult tickets

Step-by-step explanation:

Let x and y be the number of tickets sold for children and adults, respectively. We know that the total number of tickets sold is 1650. So x + y = 1650, or x = 1650 - y

Also the total ticket revenue is $14200, at $12 per adult and $4 per child. We have:

4x + 12y = 14200

We can substitute x = 1650 - y

4(1650 - y) + 12y = 14200

6600 - 4y + 12y = 14200

6600 + 8y = 14200

8y = 14200 - 6600 = 7600

y = 7600 / 8 = 950 adult tickets

x = 1650 - 950 = 700 children tickets

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