Question

The admission fee at a local zoo is $1.50 for children and $4.00 for adults. On a certain day, 2300 people enter the zoo and $7,450.00

is collected. How many children and how many adults attended?

Answer 1

700 children and 1600 adults.

Explanation:

Given:

The admission fee at a local zoo is $1.50 for children and $4.00 for adults.

On a certain day, 2300 people enter the zoo and $7,450.00 is collected.

Question asked:

How many children and how many adults attended?

Solution:

Let number of children enter the zoo =
`x`

Then number of adults enter the zoo =
`2300-x`

Total collection = $7,450

Collection from children + Collection from adults = 7450

`1.50* x+4(2300-x)=7450\\ \\`

`1.5x+9200-4x=7450\\ \\ 2.5x+9200=7450\\ \\`

Subtracting both sides by 9200

`-2.5x+9200-9200= 7450-9200`

`-2.5x=-1750`

Minus is canceled by minus.

`2.5x=1750`

Dividing both sides 2.5

`x=700`

Number of children enter the zoo =
`x` = 700

Number of adults enter the zoo =
`2300-x` = 2300 - 700 = 1600

Thus, 700 children and 1600 adults attended the local zoo on that day.