A store sells packages of batteries. The package with the best deal has the highest ratio of number of batteries to total cost.

Question

Packages of Batteries
Number of Batteries
Total Cost
3
$8
5
$8
12
$24
14
$24

Which package offers the best deal?
3 for $8
5 for $8
12 for $24
14 for $24

Answer 1

To find the best deal, we need to calculate the ratio of the number of batteries to the total cost for each package.

1. Package with 3 batteries for $8: \[ \text{Ratio} = \frac{3 \text{ batteries}}{8 \text{ dollars}} = 0.375 \text{ batteries per dollar} \]

2. Package with 5 batteries for $8: \[ \text{Ratio} = \frac{5 \text{ batteries}}{8 \text{ dollars}} = 0.625 \text{ batteries per dollar} \]

3. Package with 12 batteries for $24: \[ \text{Ratio} = \frac{12 \text{ batteries}}{24 \text{ dollars}} = 0.5 \text{ batteries per dollar} \]

4. Package with 14 batteries for $24: \[ \text{Ratio} = \frac{14 \text{ batteries}}{24 \text{ dollars}} = \frac{14}{24} = 0.5833 \text{ batteries per dollar} \]

Now, let's summarize the ratios:

• 3 for $8: 0.375 batteries/dollar
• 5 for $8: 0.625 batteries/dollar
• 12 for $24: 0.5 batteries/dollar
• 14 for $24: 0.5833 batteries/dollar

The package that offers the best deal is the 5 batteries for $8, with a ratio of 0.625 batteries per dollar.