Question

An amusement parks sells adult tickets for $18 each and youth tickets for $12 each. Kalila is using the inequality mc014-1.jpg to find the combinations of tickets she can buy without exceeding her $250 budget. The ordered pair (4, 3) is a solution of the inequality. What does (4, 3) represent?

Kalila purchases 4 tickets, 3 of which are youth tickets.
Kalila purchases 4 tickets, 3 of which are adult tickets.
Kalila purchases 4 adult tickets and 3 youth tickets.
Kalila purchases 4 youth tickets and 3 adult tickets.

Answer 1

Had to look for the missing details and here is my answer:
The inequality that is being referred here is this: 18x+12y<=250.
Now, based on this inequality, I can say that the ordered pair (4,3) represents Kalila purchases 4 tickets, 3 of which are youth tickets. If we try to plug in the values, this is what we get:
18(4) + 12(3) <=250
72 + 36 <=250
108 <=250
And this is correct. 108 is less than or equal to 250. Hope this helps.

Answer 2

Answer: Kalila purchases 4 adult tickets and 3 youth tickets.

Explanation:

Let x represents the number of adults ticket and y represents the number of youth tickets that Kalila bought,

Since, the cost of one adult ticket = $ 18

⇒ The cost of x adult tickets = 18 x

Also, the cost of one youth ticket = $ 12

⇒ The cost of y youth tickets = 12 y

Thus, the total budget of Kalila = 18 x + 12 y

But, her budget can not exceeded to $ 250

⇒ 18 x + 12 y ≤ 250

Which is the inequality that shows the number of tickets she can buy,

If, The ordered pair (4, 3) is a solution of the above inequality.

Then we can write x = 4 and y = 3

⇒ Kalila purchases 4 adult tickets and 3 youth tickets.