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4 January, 22:31

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 admission fees were $900, and 350 people attended the fair. How many children attended the fair that day?

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  1. 5 January, 00:08
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    150 children attended the fair that day

    Step-by-step explanation:

    Let n represents the number of children attended.

    Since there were 350 people attended, the number of adults is 350-n

    Since the cost of admission is $3 per adult, the admission fee gained by adults is:

    → 3 (350-n) (1)

    Since the cost of admission is $2 per child, the admission fee gained by children is:

    → 2n (2)

    Since the total admission fees were $900, the total of 1 and 2 must be equal to 900

    → 3 (350-n) + 2n = 900

    → 1050 - 3n + 2n = 900

    → n = 150
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