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

Answer:

On that day 1500 children and 700 adults attended.

Step-by-step 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.