At the grocery store, Debbie compares the prices of a 2

At the grocery store, Debbie compares the prices of a 2 - $L$ bottle of water and a 6 -pack of bottled water. The 2 - $\mathrm{L}$ bottle is priced at 1.59. The 6 -pack costs 3.60 and each bottle in the package contains 24 fl oz. Compare the cost of water per quart to determine which is a better buy.

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Key Concepts

Dimensional Analysis

Dimensional analysis is a method used to ensure that the units in a calculation are consistent and correctly converted. In the context of comparing prices per volume, it involves systematically applying conversion factors to change the unit of measure so that all quantities being compared are in the same units. This technique not only validates the calculations but also aids in understanding the relationships between different units.

Unit Conversion

This concept involves converting between different units of measurement to make comparisons possible. In situations like comparing water prices, one must convert volume measurements (such as liters, quarts, and fluid ounces) so that the costs can be normalized on a common basis. Understanding conversion factors, such as the number of quarts in a liter or the number of fluid ounces in a quart, is crucial for accurate comparison.

Cost Per Unit Analysis

Cost per unit analysis is used to determine the price of a product per standardized unit of measure. By calculating the cost per quart of water in each package, one can fairly compare the value offered by different packaging options. This technique is fundamental in consumer math and economics, as it helps in assessing which product provides the best value for money.

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