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?

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