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 .

Answer 1

To determine which paver is the best buy, we need to calculate the total cost for each type of paver based on the relationships given. Let's assume the number of Paver 2 needed is \( x \).

1. Paver 2:

   • Cost: $2.50 each
   • Quantity needed: \( x \)
   • Total cost for Paver 2: \( 2.50x \)

2. Paver 1:

   • Cost: $1.49 each
   • Quantity needed: \( 2x \) (twice as many as Paver 2)
   • Total cost for Paver 1: \( 1.49(2x) = 2.98x \)

3. Paver 3:

   • Cost: $0.75 each
   • Quantity needed: \( x/2 \) (half as many as Paver 2)
   • Total cost for Paver 3: \( 0.75(x/2) = 0.375x \)

Now, let's compare the total costs of each paver:

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

To find the best buy, we can compare these total costs directly (without needing the value of \( x \) since it will cancel out):

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

Clearly, \( 0.375 < 2.50 < 2.98 \).

Therefore, the best buy is Paver 3.

Final Answer: 3