A(x) = x( 48 - x) When is A(x) at its maximum? Explain or show how you know.
1 answer:
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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.