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A candy box contains 6 white chocolate bars and 11 dark chocolate bars.About what percentage of the candy

Question

A candy box contains 6 white chocolate bars and 11 dark chocolate bars.

About what percentage of the candy

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Solution

1. Break Down the Problem

The problem requires finding the percentage of white chocolate bars in a box that contains both white and dark chocolate bars.

2. Relevant Concepts

To calculate the percentage of a part relative to the whole, the following formula is used: Percentage=(PartWhole)×100 \text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 Where:

  • Part = number of white chocolate bars
  • Whole = total number of chocolate bars (white + dark)

3. Analysis and Detail

  1. Identify the number of white chocolate bars: White Chocolate Bars=6 \text{White Chocolate Bars} = 6

  2. Identify the number of dark chocolate bars: Dark Chocolate Bars=11 \text{Dark Chocolate Bars} = 11

  3. Calculate the total number of chocolate bars: Total=White Chocolate+Dark Chocolate=6+11=17 \text{Total} = \text{White Chocolate} + \text{Dark Chocolate} = 6 + 11 = 17

  4. Plug in the numbers into the percentage formula: Percentage of White Chocolate=(617)×100 \text{Percentage of White Chocolate} = \left( \frac{6}{17} \right) \times 100

  5. Calculate the percentage: Percentage of White Chocolate35.29% \text{Percentage of White Chocolate} \approx 35.29\%

4. Verify and Summarize

The calculations indicate that white chocolate bars make up approximately 35.29% of the total candy in the box.

Final Answer

The percentage of white chocolate bars in the candy box is approximately 35.29%.

This problem has been solved

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