At a rally attended by 520 people, 30% were Fantes, 25% Ewes, 15% Nzema, 20% Gas and the rest Gonjas.
(I) How many Gonjas were at the rally?
(ii) How many more Fantes than Nzemas were at the rally?
(iii) Draw a pie chart to illustrate the information
(i) To find the number of Gonjas at the rally, we first need to determine the percentage of people who identify as Gonjas.
100% - 30% (Fantes) - 25% (Ewes) - 15% (Nzema) - 20% (Gas) = 10% (Gonjas)
Now that we know 10% of the people at the rally identify as Gonjas, we can find the number of Gonjas:
520 (total people) * 10% = 52 Gonjas
(ii) To find out how many more Fantes than Nzemas were at the rally, we first need to find the number of Fantes and Nzemas:
Fantes: 520 * 30% = 156
Nzemas: 520 * 15% = 78
Now, we subtract the number of Nzemas from the number of Fantes:
156 (Fantes) - 78 (Nzemas) = 78 more Fantes than Nzemas
(iii) To draw a pie chart to illustrate the information, follow these steps:
1. Convert the percentages of each group to degrees for the pie chart:
Fantes: 30% * 360° = 108°
Ewes: 25% * 360° = 90°
Nzema: 15% * 360° = 54°
Gas: 20% * 360° = 72°
Gonjas: 10% * 360° = 36°
2. Draw a circle to represent the entire rally.
3. Using a protractor, draw sections for each ethnic group with their corresponding angles:
Fantes: 108°
Ewes: 90°
Nzema: 54°
Gas: 72°
Gonjas: 36°
4. Label each section with the ethnic group and percentage:
Fantes: 30%
Ewes: 25%
Nzema: 15%
Gas: 20%
Gonjas: 10%