Question

The pie chart shows information about the voters in an election 2800 more women voted than men work out the total number of voters

Answer 1

The angle subtended by the women voters are 100° more than the angle subtended by the men voters.

• The total number of voters are 10080 voters

Reasons:

The angle subtended by the men on the pie chart = 130°

The number of women = 2800 + The number of men

Therefore;

Angle subtended by the women voters on the pie chart = 360° - 130° = 230°

The difference between the angle representing women and the angle

representing men = 230° - 130° = 100°

Therefore;

100° = 2800

Which by common ratios gives;

$\dfrac{100^{\circ}}{360^{\circ}} = \dfrac{2800}{Total \ number \ of \ voters }$

100 × Total number of voters = 2800 × 360

$The \ total \ number \ of \ voters = \dfrac{2800 \times 360}{100} = 10080$

The total number of voters = 10080

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