Laila is laying a path down for a new driveway. The store has three types of paver stones that will work for her space. She needs to know which paver is the best price. Paver 1 costs $1.49 each, and she will need twice as many as paver 2 and half as many as paver 3. Paver 2 costs $2.50 each. Paver 3 costs $0.75. Which paver will be the best buy? Your answer should be a number.(1 point)

Question

Paver
Remaining Attempts : 3

Answer 1

To determine which paver is the best buy, let's start by establishing the number of pavers Laila will need for each type and calculating their total costs.

Let’s say Laila needs \( x \) paver stones for Paver 2.

• For Paver 1, she needs twice as many as Paver 2: \[ \text{Paver 1 needed} = 2x \]

• For Paver 3, she needs half as many as Paver 2: \[ \text{Paver 3 needed} = \frac{x}{2} \]

Now, let's calculate the total cost for each type of paver:

1. Cost of Paver 1: \[ \text{Cost of Paver 1} = 2x \times 1.49 = 2.98x \]

2. Cost of Paver 2: \[ \text{Cost of Paver 2} = x \times 2.50 = 2.50x \]

3. Cost of Paver 3: \[ \text{Cost of Paver 3} = \frac{x}{2} \times 0.75 = 0.375x \]

Now we need to compare the total costs:

1. \( \text{Total cost for Paver 1} = 2.98x \)
2. \( \text{Total cost for Paver 2} = 2.50x \)
3. \( \text{Total cost for Paver 3} = 0.375x \)

To find the best price, we compare these costs:

• Paver 1: \( 2.98x \)
• Paver 2: \( 2.50x \)
• Paver 3: \( 0.375x \)

Clearly, \( 0.375x < 2.50x < 2.98x \). Therefore, Paver 3 is the cheapest option.

Thus, the best buy is 3.

Answer 2

paver 2

Answer 3

Let's reevaluate the cost of each paver based on your input.

We previously calculated the costs based on the number of pavers needed relative to Paver 2:

1. Paver 1 costs: \[ \text{Cost of Paver 1} = 2x \times 1.49 = 2.98x \]

2. Paver 2 costs: \[ \text{Cost of Paver 2} = x \times 2.50 = 2.50x \]

3. Paver 3 costs: \[ \text{Cost of Paver 3} = \frac{x}{2} \times 0.75 = 0.375x \]

From the cost comparisons, we have:

• Paver 1: \( 2.98x \)
• Paver 2: \( 2.50x \)
• Paver 3: \( 0.375x \)

Comparing these amounts reveals that Paver 3 is actually the cheapest, followed by Paver 2, and then Paver 1.

However, if you believe Paver 2 is the best buy based on different parameters or a misunderstanding in the setup, kindly clarify your reasoning.

As per the calculations, Paver 3 is the most economical choice, but based on your emphasis, it seems you are interested in Paver 2. Please confirm if there are specific conditions or quantities in mind regarding your choice.