Math Problem Statement

You have been asked to produce a pie chart to record the results of a local election. The total amount of votes received was 800. Calculate the number of degrees that each of the results would be represented by on the pie chart. Mr Green: 250 votes, Mrs Grey: 50 votes, Miss Purple: 125 votes.

Solution

Let's solve the problem of determining the degrees each candidate would have on the pie chart.

Total votes: 800

The degrees for each candidate on the pie chart are calculated as: Degrees for a candidate=(Votes for the candidateTotal votes)×360\text{Degrees for a candidate} = \left(\frac{\text{Votes for the candidate}}{\text{Total votes}}\right) \times 360

Step-by-step calculations:

  1. Mr. Green (250 votes): Degrees=(250800)×360=112.5\text{Degrees} = \left(\frac{250}{800}\right) \times 360 = 112.5^\circ

  2. Mrs. Grey (50 votes): Degrees=(50800)×360=22.5\text{Degrees} = \left(\frac{50}{800}\right) \times 360 = 22.5^\circ

  3. Miss Purple (125 votes): Degrees=(125800)×360=56.25\text{Degrees} = \left(\frac{125}{800}\right) \times 360 = 56.25^\circ


Summary of Results:

  • Mr. Green: 112.5112.5^\circ
  • Mrs. Grey: 22.522.5^\circ
  • Miss Purple: 56.2556.25^\circ

Would you like me to create a visual representation or explain further?


Related Questions:

  1. How do you calculate degrees for pie charts from votes in general?
  2. Why does the total degrees of a pie chart always equal 360°?
  3. What would happen if the total votes changed, and how would that affect the pie chart?
  4. Can you calculate percentages from the same data and use them for another chart type?
  5. How do pie charts compare to bar charts for displaying election results?

Tip:

When calculating pie chart degrees, double-check that the sum of all degrees adds up to 360° to ensure accuracy.

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Math Problem Analysis

Mathematical Concepts

Pie charts
Proportional representation
Geometry

Formulas

Degrees for a candidate = (Votes for the candidate / Total votes) × 360

Theorems

Proportionality principle

Suitable Grade Level

Grades 6-8