A pie chart shows the distribution of expenses for a household in a month. If th

Practice Questions

Q1
A pie chart shows the distribution of expenses for a household in a month. If the largest segment represents 40% of the total expenses, which of the following could be the total expenses if the largest segment is $800? (2000)
  1. $2000
  2. $3000
  3. $4000
  4. $5000

Questions & Step-by-Step Solutions

A pie chart shows the distribution of expenses for a household in a month. If the largest segment represents 40% of the total expenses, which of the following could be the total expenses if the largest segment is $800? (2000)
  • Step 1: Understand that the largest segment of the pie chart represents 40% of the total expenses.
  • Step 2: Know that the value of the largest segment is given as $800.
  • Step 3: To find the total expenses, use the formula: Total Expenses = Value of Segment / Percentage of Segment.
  • Step 4: Convert the percentage from 40% to a decimal by dividing by 100, which gives you 0.40.
  • Step 5: Substitute the values into the formula: Total Expenses = $800 / 0.40.
  • Step 6: Calculate the total expenses: $800 divided by 0.40 equals $2000.
  • Percentage Calculation – Understanding how to calculate the total from a given percentage of that total.
  • Proportional Reasoning – Applying the concept of proportions to relate parts to a whole.
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