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a 42.2oz bottle of coke costs $1.29. a 67.6 oz bottle of coke costs $1.79 find the price of dollers per oz

Question

A 42.2oz bottle of coke costs 1.29.A67.6ozbottleofcokecosts1.29. A 67.6 oz bottle of coke costs 1.79. Find the price of dollars per oz.

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Solution

1. Break Down the Problem

We need to calculate the price per ounce for two different sizes of Coke bottles. This involves dividing the price of each bottle by its corresponding volume in ounces.

2. Relevant Concepts

To find the price per ounce, we will use the formula: Price per ounce=PriceVolume in ounces \text{Price per ounce} = \frac{\text{Price}}{\text{Volume in ounces}}

3. Analysis and Detail

For the 42.2 oz bottle:

  • Price: $1.29
  • Volume: 42.2 oz
  • Calculation: Price per ounce for 42.2 oz=1.2942.20.03055 \text{Price per ounce for 42.2 oz} = \frac{1.29}{42.2} \approx 0.03055 So, the price per ounce is approximately $0.03055.

For the 67.6 oz bottle:

  • Price: $1.79
  • Volume: 67.6 oz
  • Calculation: Price per ounce for 67.6 oz=1.7967.60.02648 \text{Price per ounce for 67.6 oz} = \frac{1.79}{67.6} \approx 0.02648 So, the price per ounce is approximately $0.02648.

4. Verify and Summarize

The calculations have been verified for both bottles. The prices per ounce are:

  • 42.2 oz bottle: $0.03055 per ounce
  • 67.6 oz bottle: $0.02648 per ounce

Final Answer

The price per ounce for the 42.2 oz bottle is approximately 0.03055,andforthe67.6ozbottle,itisapproximately0.03055, and for the 67.6 oz bottle, it is approximately 0.02648. Thus, the 67.6 oz bottle offers a better value per ounce.

This problem has been solved

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