QuestionAugust 20, 2025

11. BUILD PERSEVERANCE Brand A dish detergent costs 2.48 for a 21.6 -ounce bottle. Brand B costs 1.55 for a 12.6 -ounce bottle. Which brand is a better buy?Explain your reasoning.

11. BUILD PERSEVERANCE Brand A dish detergent costs 2.48 for a 21.6 -ounce bottle. Brand B costs 1.55 for a 12.6 -ounce bottle. Which brand is a better buy?Explain your reasoning.
11. BUILD PERSEVERANCE Brand A dish
detergent costs 2.48 for a 21.6 -ounce
bottle. Brand B costs 1.55 for a 12.6 -ounce
bottle. Which brand is a better buy?Explain
your reasoning.

Solution
4.6(230 votes)

Answer

Brand A is a better buy. Explanation 1. Calculate the cost per ounce for Brand A Divide the total cost by the number of ounces: \frac{2.48}{21.6} = 0.1148 dollars per ounce. 2. Calculate the cost per ounce for Brand B Divide the total cost by the number of ounces: \frac{1.55}{12.6} = 0.1230 dollars per ounce. 3. Compare the costs per ounce Brand A costs 0.1148 per ounce, and Brand B costs 0.1230 per ounce. Brand A is cheaper per ounce.

Explanation

1. Calculate the cost per ounce for Brand A<br /> Divide the total cost by the number of ounces: $\frac{2.48}{21.6} = 0.1148$ dollars per ounce.<br />2. Calculate the cost per ounce for Brand B<br /> Divide the total cost by the number of ounces: $\frac{1.55}{12.6} = 0.1230$ dollars per ounce.<br />3. Compare the costs per ounce<br /> Brand A costs $0.1148$ per ounce, and Brand B costs $0.1230$ per ounce. Brand A is cheaper per ounce.
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