Question

An online retailer sells two packages of protein bars.

Package 10−pack of 2.5 ounce bars 12−pack of 1.8 ounce bars
Cost ($) 19.50 18.75


Which package has the better price per bar?

The 10−pack costs $
per bar and the 12−pack costs $
per bar. The
(select)
has the better price per bar.

Which package has the better price per ounce?

The cost per ounce of the 10−pack is $
and the cost per ounce of the 12−pack is $
. The
(select)
has the better price per ounce.

Which package do you think is a better buy? Complete the explanation.

Because I prefer the lower price per bar, I think that the
-pack is the better buy.
Because I prefer the lower price per ounce, I think that the
-pack is the better buy.

Answer 1

Explanation:

Let's calculate the price per bar and the price per ounce for both the 10-pack of 2.5 ounce bars and the 12-pack of 1.8 ounce bars to determine which package offers a better value:

For the 10-pack of 2.5 ounce bars:

Cost of the 10-pack = $19.50

Number of bars in the 10-pack = 10

Price per bar = $19.50 / 10 bars = $1.95 per bar

For the 12-pack of 1.8 ounce bars:

Cost of the 12-pack = $18.75

Number of bars in the 12-pack = 12

Price per bar = $18.75 / 12 bars = $1.5625 per bar

Now, let's calculate the price per ounce:

For the 10-pack of 2.5 ounce bars:

Cost of the 10-pack = $19.50

Total weight in the 10-pack = 10 bars * 2.5 ounces/bar = 25 ounces

Price per ounce = $19.50 / 25 ounces ≈ $0.78 per ounce

For the 12-pack of 1.8 ounce bars:

Cost of the 12-pack = $18.75

Total weight in the 12-pack = 12 bars * 1.8 ounces/bar = 21.6 ounces

Price per ounce = $18.75 / 21.6 ounces ≈ $0.8681 per ounce

Now, let's summarize the findings:

The 10-pack costs $1.95 per bar, while the 12-pack costs $1.5625 per bar. So, the 12-pack has the better price per bar.

The cost per ounce of the 10-pack is approximately $0.78 per ounce, while the cost per ounce of the 12-pack is approximately $0.8681 per ounce. So, the 10-pack has the better price per ounce.

Given these calculations, you have different factors to consider:

If you prefer a lower price per bar, then the 12-pack is the better buy.

If you prefer a lower price per ounce, then the 10-pack is the better buy.

Ultimately, the better choice depends on your personal preference and priorities—whether you prioritize saving money per bar or per ounce.