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You can buy hair product in a 6-ounce bottle for $4.56 or in a 4-ounce bottle for $2.88

Question

You can buy hair product in a 6-ounce bottle for 4.56orina4ouncebottlefor4.56 or in a 4-ounce bottle for 2.88

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Solution

To compare the cost-effectiveness of the two hair product options, we will calculate the price per ounce for each bottle.

1. Break Down the Problem

  • Option A: 6-ounce bottle for $4.56
  • Option B: 4-ounce bottle for $2.88

2. Relevant Concepts

To find the price per ounce, we will use the formula:

Price per ounce=Cost of the bottleVolume in ounces \text{Price per ounce} = \frac{\text{Cost of the bottle}}{\text{Volume in ounces}}

3. Analysis and Detail

  • For the 6-ounce bottle: Price per ounce=4.566=0.76 (rounded to two decimal places) \text{Price per ounce} = \frac{4.56}{6} = 0.76 \text{ (rounded to two decimal places)}

  • For the 4-ounce bottle: Price per ounce=2.884=0.72 (rounded to two decimal places) \text{Price per ounce} = \frac{2.88}{4} = 0.72 \text{ (rounded to two decimal places)}

4. Verify and Summarize

The price per ounce for the 6-ounce bottle is approximately 0.76,whileforthe4ouncebottle,itisapproximately0.76, while for the 4-ounce bottle, it is approximately 0.72.

Final Answer

The 4-ounce bottle is cheaper at approximately 0.72perouncecomparedtothe6ouncebottleatapproximately0.72 per ounce compared to the 6-ounce bottle at approximately 0.76 per ounce.

This problem has been solved

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