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An online retailer sells two packages of protein bars.

Package 1: 10-pack of 2.1-ounce bars for $15.37.
Package 2: 12-pack of 1.4-ounce bars for $15.35.
i) Which package has the better price per bar?
ii) Which package has the better price per ounce?
iii) Which package do you think is a better buy?

1 Answer

6 votes

Final answer:

Package 2 has the better price per bar at $1.279, while Package 1 has the better price per ounce at $0.732. The better buy depends on if you want more bars for your money or more product by weight.

Step-by-step explanation:

To determine which package of protein bars has the better price per bar and the better price per ounce, we first need to calculate these prices for both packages.

  • For Package 1: $15.37 for 10 bars equates to $15.37 / 10 = $1.537 per bar. The total weight of Package 1 is 10 bars × 2.1 ounces/bar = 21 ounces. Therefore, the price per ounce for Package 1 is $15.37 / 21 = $0.732 per ounce.
  • For Package 2: $15.35 for 12 bars equates to $15.35 / 12 = $1.279 per bar. The total weight of Package 2 is 12 bars × 1.4 ounces/bar = 16.8 ounces. Therefore, the price per ounce for Package 2 is $15.35 / 16.8 = $0.913 per ounce.

Comparison is as follows:

  • Price per bar: Package 1 costs $1.537 per bar, while Package 2 costs $1.279 per bar. So Package 2 has the better price per bar.
  • Price per ounce: Package 1 costs $0.732 per ounce, while Package 2 costs $0.913 per ounce. So Package 1 has the better price per ounce.

Deciding on the better buy depends on whether you prioritize more protein bars or a better price per ounce. If the former is important, Package 2 offers more bars at a lower cost per bar. If you care about getting more product for your money by weight, then Package 1 endows you with a better price per ounce of protein bars.

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