Answer:
The adult tickets are <u>400</u> and the children tickets are <u>300</u>.
Step-by-step explanation:
Given:
At a carnival, 700 tickets were sold for a total amount of $5500. An adult ticket cost $10
and a children's ticket cost $5.
Now, to find the number of adult tickets and the number of children's tickets sold.
<em>Let the number of adult tickets be </em>
<em />
<em>And let the number of children tickets be </em>
<em />
So, the total number of tickets sold:

Now, the total amount of tickets:

Substituting the value of
from equation (1):

<em>Subtracting both sides by 3500 we get:</em>
<em />
<em />
<em>Dividing boths sides by 5 we get:</em>
<u />
<u>The number of adult tickets = 400.</u>
Now, substituting the value of
in equation (1) we get:

<u>The number of children tickets = 300.</u>
Therefore, the adult tickets are 400 and the children tickets are 300.