Laila is laying a path 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?
Laila needs twice as many Paver 2 as Paver 1, so she needs 2 * 1.49 = $<<2*1.49=2.98>>2.98 worth of Paver 1.
She needs half as many Paver 3 as Paver 1, so she needs 1/2 * 1.49 = $<<1/2*1.49=0.745>>0.745 worth of Paver 3.
She needs twice as many Paver 2 as Paver 3, so she needs 2 * 0.75 = $<<2*0.75=1.50>>1.50 worth of Paver 2.
Paver 1 will cost her 2.98, Paver 2 will cost her 1.50, and Paver 3 will cost her 0.745.
Therefore, Paver 3 is the best buy. Answer: \boxed{\$0.75}.
To determine which paver is the best buy, we need to compare the prices of each paver stone.
Let's start by finding out how many paver stones Laila needs for each type:
- Since Laila needs twice as many of Paver 2 as Paver 1, we can calculate that she needs 2 x (number of Paver 1).
- Since Laila needs half as many of Paver 1 as Paver 3, we can calculate that she needs (1/2) x (number of Paver 3).
Now, we can calculate the total cost for each paver type:
- Total cost for Paver 1 = (number of Paver 1) x (cost per Paver 1)
- Total cost for Paver 2 = (number of Paver 2) x (cost per Paver 2)
- Total cost for Paver 3 = (number of Paver 3) x (cost per Paver 3)
Comparing the total costs, we can determine which paver is the best buy. Let's calculate this step-by-step:
- Given:
- Paver 1 cost = $1.49
- Paver 2 cost = $2.50
- Paver 3 cost = $0.75
- Step 1: Calculate the number of Paver 1 stones needed
- Let's assume she needs x number of Paver 1 stones
- Number of Paver 2 stones needed = 2 * x
- Number of Paver 3 stones needed = (1/2) * x
- Step 2: Calculate the total cost for each paver type
- Total cost for Paver 1 = x * $1.49
- Total cost for Paver 2 = (2 * x) * $2.50
- Total cost for Paver 3 = ((1/2) * x) * $0.75
- Step 3: Compare the total costs
- Compare the total costs obtained from step 2
- Determine which paver type has the lowest total cost
Now we need the values for "x" from the given information.
To determine which paver is the best buy, we need to compare the total cost of each option. Let's calculate the total cost for each paver:
Paver 1:
Each paver costs $1.49.
Laila needs twice as many Paver 2, so she will need to buy 2 x Paver 2.
Laila needs half as many Paver 3, so she will need to buy 0.5 x Paver 3.
Paver 2:
Each paver costs $2.50.
Paver 3:
Each paver costs $0.75.
Laila needs twice as many Paver 1, so she will need to buy 2 x Paver 1.
Laila needs twice as many Paver 2, so she will need to buy 2 x Paver 2.
Now, let's calculate the total cost for each paver:
Paver 1:
Total cost = (Paver 1 cost) x (quantity needed)
Total cost = $1.49 x (2 x Paver 2) x (0.5 x Paver 3)
Paver 2:
Total cost = (Paver 2 cost) x (quantity needed)
Total cost = $2.50 x (Paver 1)
Paver 3:
Total cost = (Paver 3 cost) x (quantity needed)
Total cost = $0.75 x (2 x Paver 1) x (2 x Paver 2)
Now that we have calculated the total cost for each paver, we can determine which option is the best buy. The paver with the lowest total cost will be the best buy.
Plug in the prices and quantities to calculate the total cost for each paver:
Paver 1:
Total cost = $1.49 x (2 x $2.50) x (0.5 x $0.75)
Total cost = $1.49 x (5) x (0.375)
Total cost = $2.2275
Paver 2:
Total cost = $2.50 x ($1.49)
Total cost = $3.725
Paver 3:
Total cost = $0.75 x (2 x $2.50) x (2 x $1.49)
Total cost = $0.75 x (5) x (5.96)
Total cost = $17.85
Comparing the total costs, we can see that Paver 1 has a total cost of $2.2275, Paver 2 has a total cost of $3.725, and Paver 3 has a total cost of $17.85.
Therefore, Paver 1 is the best buy because it has the lowest total cost.