a small fair changes 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

Teeny

Mathematics

19 May, 18:25

a small fair changes 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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Braxton Ballard · Answer 1

We need to make a system of equations. A=Adults and C=Children.

A+C=350; this means how many people are there.

3A+2C=900; this deals with money.

We need to eliminate a variable, let's eliminate C by multiplying the first equation by - 2.

-2a-2C=-700

3A+2C=900

A=200

This means there was 200 adults, which means there had to be 150 children.