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 [tex]x[/tex].
And the adults attended be [tex]y[/tex].
The total number in attendance:
[tex]x+y=2200[/tex]
⇒ [tex]x=2200-y[/tex]........( 1 ).
Now, the total amount of money raised:
[tex]1.50x+4y=5050[/tex]
Putting the equation ( 1 ) in the place of [tex]x[/tex] we get:
⇒ [tex]1.50(2200-y)+4y=5050[/tex]
⇒ [tex]3300-1.50y+4y=5050[/tex]
⇒ [tex]3300+2.50y=5050[/tex]
Subtracting both sides by 3300 we get:
⇒ [tex]2.50y=1750[/tex]
Dividing both sides by 2.50 we get:
⇒ [tex]y=700.[/tex]
The adults attended = 700.
Now, putting the value of [tex]y[/tex] in equation ( 1 ) we get:
[tex]x=2200-700[/tex]
⇒ [tex]x=1500.[/tex]
The children attended = 1500.
Therefore, on that day 1500 children and 700 adults attended.
