Question

There is a carnival. Children are $1.50 and adults are $4. On this particular day there 2200 in attendance and the total amount of money raised was $5050. how many children and adults attended on that day.

Answer 1

On that day 1500 children and 700 adults attended.

Explanation:

Given:

There is a carnival. Children are $1.50 and adults are $4.

The total amount of money raised was $5050.

On this particular day there 2200 in attendance.

Now, to find the children and adults attended on that day.

Let the children attended be
`x`.

And the adults attended be
`y`.

The total number in attendance:

`x+y=2200`

⇒
`x=2200-y`........( 1 ).

Now, the total amount of money raised:

`1.50x+4y=5050`

Putting the equation ( 1 ) in the place of
`x` we get:

⇒
`1.50(2200-y)+4y=5050`

⇒
`3300-1.50y+4y=5050`

⇒
`3300+2.50y=5050`

Subtracting both sides by 3300 we get:

⇒
`2.50y=1750`

Dividing both sides by 2.50 we get:

⇒
`y=700.`

The adults attended = 700.

Now, putting the value of
`y` in equation ( 1 ) we get:

`x=2200-700`

⇒
`x=1500.`

The children attended = 1500.

Therefore, on that day 1500 children and 700 adults attended.