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A pie chart shows the distribution of a company's budget. If the 'Marketing' seg

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Question: A pie chart shows the distribution of a company\'s budget. If the \'Marketing\' segment is twice the size of the \'Research\' segment, which of the following could represent their respective percentages?

Options:

  1. 20% Marketing, 10% Research
  2. 30% Marketing, 15% Research
  3. 40% Marketing, 20% Research
  4. 50% Marketing, 25% Research

Correct Answer: 20% Marketing, 10% Research

Solution: 

If Marketing is twice Research, then for 20% Marketing, Research must be 10%.

A pie chart shows the distribution of a company's budget. If the 'Marketing' seg

Practice Questions

Q1
A pie chart shows the distribution of a company's budget. If the 'Marketing' segment is twice the size of the 'Research' segment, which of the following could represent their respective percentages?
  1. 20% Marketing, 10% Research
  2. 30% Marketing, 15% Research
  3. 40% Marketing, 20% Research
  4. 50% Marketing, 25% Research

Questions & Step-by-Step Solutions

A pie chart shows the distribution of a company's budget. If the 'Marketing' segment is twice the size of the 'Research' segment, which of the following could represent their respective percentages?
  • Step 1: Understand that the 'Marketing' segment is twice the size of the 'Research' segment.
  • Step 2: Let the percentage of the 'Research' segment be represented as R.
  • Step 3: Since 'Marketing' is twice 'Research', we can represent 'Marketing' as 2R.
  • Step 4: The total budget percentage must equal 100%. Therefore, we can write the equation: R + 2R = 100%.
  • Step 5: Simplify the equation: 3R = 100%.
  • Step 6: Solve for R by dividing both sides by 3: R = 100% / 3, which is approximately 33.33%.
  • Step 7: Now, calculate 'Marketing' by substituting R back into the equation: Marketing = 2R = 2 * 33.33% = 66.67%.
  • Step 8: Therefore, the percentages could be approximately 33.33% for Research and 66.67% for Marketing.
  • Proportional Relationships – Understanding the relationship between two quantities where one is a multiple of the other.
  • Percentage Calculation – Calculating percentages based on given ratios and ensuring they sum to 100%.
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