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
You're on a roll — here's the solution to question 4: i) Draw a pie chart to illustrate the information. To draw a pie chart, we first need to find the total number of votes and then calculate the angle for each party's votes. Step 1: Calculate the total number of votes. Total votes = Votes for A + B + C + D + E Total votes = 14 + 11 + 19 + 52 + 24 = 120 Step 2: Calculate the angle for each party in the pie chart. The angle for each party is given by (Number of votes for party / Total votes) × 360^. • Party A: (14)/(120) × 360^ = 14 × 3^ = 42^ • Party B: (11)/(120) × 360^ = 11 × 3^ = 33^ • Party C: (19)/(120) × 360^ = 19 × 3^ = 57^ • Party D: (52)/(120) × 360^ = 52 × 3^ = 156^ • Party E: (24)/(120) × 360^ = 24 × 3^ = 72^ The pie chart would be drawn with sectors corresponding to these angles: Party A: 42^ Party B: 33^ Party C: 57^ Party D: 156^ Party E: 72^ ii) What percentage of the total votes did the winner obtain? Step 1: Identify the winner. The winner is the party with the highest number of votes. Comparing the votes: A (14), B (11), C (19), D (52), E (24). Party D has the highest number of votes (52), so Party D is the winner. Step 2: Calculate the percentage of votes for the winner. Percentage for winner = Winner's votesTotal votes × 100\% Percentage for winner = (52)/(120) × 100\% Percentage for winner = (13)/(30) × 100\% Percentage for winner = (1300)/(30)\% = (130)/(3)\% Percentage for winner = 43.33\% (to 2 decimal places) The winner obtained 43.33\% of the total votes. What's next?