Calculate the percentages of yellow, purple, blue, pink, and green based on the provided figures.
Understand the Problem
The question involves calculations related to percentages and possibly conversions of some sort, specifically looking at colored items and their distribution. It appears to relate to problems where proportions are calculated from certain quantities.
Answer
- Yellow: $16.6\%$ - Purple: $20\%$ - Blue: $33.3\%$ - Pink: $10\%$ - Green: $20\%$
Answer for screen readers
- Yellow: $16.6%$
- Purple: $20%$
- Blue: $33.3%$
- Pink: $10%$
- Green: $20%$
Steps to Solve
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Understanding the Data We need to interpret the given data, focusing on percentage calculations related to colored items.
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Calculate Percentages For each color, use the formula for percentage calculation: $$ \text{Percentage} = \left( \frac{\text{part}}{\text{whole}} \right) \times 100 $$
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Finding Yellow Percentage Given that there are 30 yellow out of a total of 180, the percentage is: $$ \text{Yellow} = \left( \frac{30}{180} \right) \times 100 = 16.67% $$ This rounds to 16.6%.
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Finding Purple Percentage For purple, with 36 purple items out of 180, the percentage is: $$ \text{Purple} = \left( \frac{36}{180} \right) \times 100 = 20% $$
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Finding Blue Percentage For blue, with 60 items out of 180, the percentage is: $$ \text{Blue} = \left( \frac{60}{180} \right) \times 100 = 33.3% $$
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Finding Pink Percentage For pink, with 10 pink items out of 100 total, the percentage is: $$ \text{Pink} = \left( \frac{10}{100} \right) \times 100 = 10% $$
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Finding Green Percentage For green, with 30 green items out of a total of 180: $$ \text{Green} = \left( \frac{30}{180} \right) \times 100 = 20% $$
- Yellow: $16.6%$
- Purple: $20%$
- Blue: $33.3%$
- Pink: $10%$
- Green: $20%$
More Information
This problem involves calculating the proportion of colored items compared to the total. Understanding percentages is vital in various fields, such as statistics and data analysis. The results show how each color represents a part of the whole.
Tips
- Not converting the total correctly when calculating the percentage. Make sure to always use the correct whole for your percentage calculations.
- Rounding too early or too late can lead to inaccurate percentages; try to keep full decimals until the final answer.
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