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.
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For Paver 1, she needs twice as many as Paver 2: [ \text{Paver 1 needed} = 2x ]
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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:
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Cost of Paver 1: [ \text{Cost of Paver 1} = 2x \times 1.49 = 2.98x ]
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Cost of Paver 2: [ \text{Cost of Paver 2} = x \times 2.50 = 2.50x ]
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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:
- ( \text{Total cost for Paver 1} = 2.98x )
- ( \text{Total cost for Paver 2} = 2.50x )
- ( \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.