Question
(9) A store sells two brands of hand lotion. Brand X costs \( \$ 3 \), Brand Y costs \( \$ 5 \) for 8 fiuld ounces. How much less per fl cost than Brand Y? Show your work.
Ask by Ramirez Rojas. in the United States
Mar 19,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Brand X costs \$0.25 less per fluid ounce than Brand Y.
Solution
1. Find the cost per fluid ounce for Brand Y:
\[
\text{Cost per fl oz for Brand Y} = \frac{\$5}{8\text{ fl oz}} = \$0.625\text{ per fl oz}.
\]
2. Assume that Brand X is sold in the same size (8 fl oz) as Brand Y. Then, its cost per fluid ounce is:
\[
\text{Cost per fl oz for Brand X} = \frac{\$3}{8\text{ fl oz}} = \$0.375\text{ per fl oz}.
\]
3. The difference in cost per fluid ounce is:
\[
\$0.625 - \$0.375 = \$0.25.
\]
Thus, Brand X costs \(\$0.25\) less per fluid ounce than Brand Y.
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Simplify this solution The Deep Dive
To find out how much less Brand X costs per fluid ounce than Brand Y, we first need to calculate the price per ounce for each brand. Brand X: Cost = $3 Total ounces = 8 Price per ounce for Brand X = \( \frac{3}{8} = 0.375 \) dollars per ounce. Brand Y: Cost = $5 Total ounces = 8 Price per ounce for Brand Y = \( \frac{5}{8} = 0.625 \) dollars per ounce. Now, to find out how much less Brand X costs per ounce compared to Brand Y: Difference = Price per ounce of Brand Y - Price per ounce of Brand X Difference = \( 0.625 - 0.375 = 0.25 \) dollars. Therefore, Brand X costs $0.25 less per fluid ounce than Brand Y.
