At a rally attended by 200 people, 30% were Fantes, 25% were Asantes, 20% were Gas, 20% were Nzemas and the rest were Dagombas. a. How many Dagombas were at the rally? b. What percentage were Dagombas? c. Draw a pie chart to illustrate data.

Mathematics
At a rally attended by 200 people, 30% were Fantes, 25% were Asantes, 20% were Gas, 20% were Nzemas and the rest were Dagombas. a. How many Dagombas were at the rally? b. What percentage were Dagombas? c. Draw a pie chart to illustrate data.

ScanSolve AI Answer

Answer

50

Total people at the rally: 252
Nyesmas: 202

Step 1 (Part a): Find the number of Dagombas.

Number of Dagombas = Total people - Nyesmas
252202=50252 - 202 = 50

There were 50 Dagombas at the rally.

50

Step 2 (Part b): Find the percentage of Dagombas.

Percentage of Dagombas = NumberofDagombasTotalpeople×100%\dfrac{Number of Dagombas}{Total people} \times 100\%
=50252×100%=\dfrac{50}{252} \times 100\%

First, simplify the fraction:
50÷2252÷2=25126\dfrac{50 \div 2}{252 \div 2} = \dfrac{25}{126}

Now calculate:
251260.1984\dfrac{25}{126} \approx 0.1984
0.1984×100%=19.84%0.1984 \times 100\% = 19.84\%

Approximately 19.84% of the people were Dagombas.

19.84%

Step 3 (Part c): Pie chart data.

Total angle = 360360^\circ

Angle for Nyesmas:
202252×360=101126×360288.57\dfrac{202}{252} \times 360^\circ = \dfrac{101}{126} \times 360^\circ \approx 288.57^\circ

Angle for Dagombas:
50252×360=25126×36071.43\dfrac{50}{252} \times 360^\circ = \dfrac{25}{126} \times 360^\circ \approx 71.43^\circ

Draw a circle.

  • Shade 288.57\approx 288.57^\circ for Nyesmas (major sector).
  • Shade 71.43\approx 71.43^\circ for Dagombas (minor sector).
    Label the sectors with names and percentages (Nyesmas: 80.16%, Dagombas: 19.84%).
    Title: "Attendees at the Rally".
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Quick Answer

Total people at the rally: 252 Nyesmas: 202 Step 1 (Part a): Find the number of Dagombas.

At a rally attended by 200 people, 30% were Fantes, 25% were Asantes, 20% were Gas, 20% were Nzemas and the rest were Dagombas. a. How many Dagombas were at the rally? b. What percentage were Dagombas? c. Draw a pie chart to illustrate data.
Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
Total people at the rally: 252 Nyesmas: 202 Step 1 (Part a): Find the number of Dagombas. Number of Dagombas = Total people - Nyesmas 252 - 202 = 50 There were 50 Dagombas at the rally. 50 Step 2 (Part b): Find the percentage of Dagombas. Percentage of Dagombas = Number of DagombasTotal people × 100\% =(50)/(252) × 100\% First, simplify the fraction: (50 ÷ 2)/(252 ÷ 2) = (25)/(126) Now calculate: (25)/(126) ≈ 0.1984 0.1984 × 100\% = 19.84\% Approximately 19.84\% of the people were Dagombas. 19.84\% Step 3 (Part c): Pie chart data. Total angle = 360^ Angle for Nyesmas: (202)/(252) × 360^ = (101)/(126) × 360^ ≈ 288.57^ Angle for Dagombas: (50)/(252) × 360^ = (25)/(126) × 360^ ≈ 71.43^ Draw a circle. Shade ≈ 288.57^ for Nyesmas (major sector). Shade ≈ 71.43^ for Dagombas (minor sector). Label the sectors with names and percentages (Nyesmas: 80.16\%, Dagombas: 19.84\%). Title: "Attendees at the Rally".