Math Problem Statement

In an election there were four candidates, J, K, L, and M. The sectors for J and K have been drawn. Twice as many people voted for L as voted for M. a) Work out the angle that needs to be used to draw the sector for L. b) Altogether, 15,840 people voted. How many voted for J?

Solution

Let's solve the problem step by step:

Given:

  1. There are four candidates: J, K, L, and M.
  2. The sectors for J and K have been

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Math Problem Analysis

Mathematical Concepts

Geometry
Pie Chart
Angles
Proportions

Formulas

Total angle in a pie chart = 360 degrees
Angle of a sector = (Votes for candidate / Total votes) * 360

Theorems

Proportion Theorem

Suitable Grade Level

Grades 7-10

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