A small fair charges an admission fee for children and adults. The cost for admission is $3 per adult and $2 per child. On a certain day, total sales were $900, and 350 people attended the fair. How many children attended the fair that day?

Question

Mathematics

Little Bear

7 December, 10:28

A small fair charges an admission fee for children and adults. The cost for admission is $3 per adult and $2 per child. On a certain day, total sales were $900, and 350 people attended the fair. How many children attended the fair that day?

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Answers (1)

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Janae Blackwell · Answer 1

3a + 2c = 900

a + c = 350 ... a = 350 - c

3 (350 - c) + 2c = 900

1050 - 3c + 2c = 900

-3c + 2c = 900 - 1050

-c = - 150

c = 150

so 150 children attended