Laila is laying a path down for a new driveway. The store has three types of pavers 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 Paper three paper to cost $2.50 each paper three cost $.75 each which paper will be the best by your answer should be a number

1 answer

To determine which paver is the best price for Laila, let's denote the number of paver stones needed for each type as follows:

Let \( x \) be the number of paver stones of type 2. Then:

  • For Paver 1, she needs \( 2x \) stones.
  • For Paver 2, she needs \( x \) stones.
  • For Paver 3, she needs \( 4x \) stones (since she needs half as many as Paver 1, which is \( 2x \)).

Now, we can calculate the total cost for each paver type.

  1. Cost of Paver 1:

    • Number of stones needed: \( 2x \)
    • Cost per stone: $1.49
    • Total cost: \( 2x \times 1.49 = 2.98x \)
  2. Cost of Paver 2:

    • Number of stones needed: \( x \)
    • Cost per stone: $2.50
    • Total cost: \( x \times 2.50 = 2.50x \)
  3. Cost of Paver 3:

    • Number of stones needed: \( 4x \)
    • Cost per stone: $0.75
    • Total cost: \( 4x \times 0.75 = 3.00x \)

Now, we can compare the total costs:

  • Paver 1: \( 2.98x \)
  • Paver 2: \( 2.50x \)
  • Paver 3: \( 3.00x \)

To find which paver stone is the best price, we can ignore the \( x \) (since the number of pavers will not change the comparison) and just compare the costs:

  • Paver 1: 2.98
  • Paver 2: 2.50 (This is the lowest cost)
  • Paver 3: 3.00

Thus, the best price in terms of the cost to Laila is \( \textbf{2.50} \).