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The angle subtended by the women voters are 100° more than the angle subtended by the men voters.
- The total number of voters are <u>10080 voters</u>
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;
100 × Total number of voters = 2800 × 360
The total number of voters = <u>10080</u>
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Non-negative integers are positive integers or zero.
1. When then there are such possible cases for
and
In total 11 solutions for
2. For there are such possible cases for
and
In total 10 solutions for
3. This process gives you
- for
- 9 solutions;
- for
- 8 solutions;
- for
- 7 solutions;
- for
- 6 solutions;
- for
- 5 solutions;
- for
- 4 solutions;
- for
- 3 solutions;
- for
- 2 solutions;
- for
- 1 solution.
4. Add all numbers of solutions:
Answer: there are 66 possible solutions (with non-negative integer variables)