Question

The entry fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5000 is collected. The number of children attended the fair is___________.

Answer 1

The number of children attended the fair is 1520.

Explanation:

We are given the following in the question:

Entry fee foe children = $1.50

Entry fee foe adult = $4.00

Total number of people in fair = 2200

Total money collected = $5000

Let x be the number of children and y be the number of adults in the fair.

Then, we can write the following equations:

`x + y = 2200\\1.5x + 4y = 5000`

Solving the two equations, we have:

`1.5x + 1.5y = 3300\\1.5x + 4y = 5000\\\Rightarrow 2.5y = 1700\\y = 680\\x = 2200-680 = 1520`

Thus, there were 1520 children and 680 adults in the fair.