Kelly is attending a fall carnival with only $10. Admission into the carnival is $3 and each game inside the carnival costs $0.25.

Question

Which inequality can be used to determine the maximum number games Kelly can play?

(1 point)
Responses

0.25x+3≤10

0.25x+3≥10

0.25x+3<10

0.25x+3>10

Question 2
(1 point)
Kelly has enough money to play at most
games.

Answer 1

To determine the maximum number of games Kelly can play, we need to represent the total money spent in an inequality. Kelly's total budget is $10, and the admission fee is $3. Therefore, the money left after paying for admission is \(10 - 3 = 7\) dollars. Each game costs $0.25, so if we let \(x\) represent the number of games she can play, the inequality that represents her total spending is:

\[ 0.25x + 3 \leq 10 \]

This accounts for the $3 admission and how much she can spend on games (where $0.25 is the cost of each game).

Question 1:

The correct inequality is:

• 0.25x + 3 ≤ 10

Question 2:

Now to find how many games she can play, we solve the inequality \(0.25x + 3 \leq 10\):

1. Subtract 3 from both sides: \[ 0.25x \leq 7 \]

2. Divide by 0.25: \[ x \leq \frac{7}{0.25} = 28 \]

So, Kelly can play at most 28 games.