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Calculate the Difference in Vote Percentage for Candidate A Between 2005 and 2012
Mathematics
Grade 6 of Primary School
Question Content
The table shows the number of votes for Candidate A and Candidate B from 2005 to 2012: \n| Year | Candidate A | Candidate B |\n|------|-------------|-------------|\n| 2005 | 180 | 55 |\n| 2006 | 150 | 85 |\n| 2007 | 135 | 100 |\n| 2008 | 120 | 115 |\n| 2009 | 110 | 125 |\n| 2010 | 95 | 140 |\n| 2011 | 80 | 155 |\n| 2012 | 65 | 170 |\nWhat was the difference in the percentage of members voting for Candidate A in 2005 to candidate A in 2012?
Correct Answer
49%
Detailed Solution Steps
1
Step 1: Calculate the total number of votes in 2005. Add votes for Candidate A and Candidate B: 180 + 55 = 235 total votes.
2
Step 2: Calculate the percentage of votes for Candidate A in 2005. Use the formula: (Votes for A / Total Votes) × 100. So (180 / 235) × 100 ≈ 76.6%.
3
Step 3: Calculate the total number of votes in 2012. Add votes for Candidate A and Candidate B: 65 + 170 = 235 total votes.
4
Step 4: Calculate the percentage of votes for Candidate A in 2012. Use the formula: (Votes for A / Total Votes) × 100. So (65 / 235) × 100 ≈ 27.7%.
5
Step 5: Find the difference between the two percentages: 76.6% - 27.7% ≈ 49%.
Knowledge Points Involved
1
Percentage Calculation
This is the process of finding a proportion of a whole as a fraction of 100. The formula for percentage of a part is (Part Value / Total Value) × 100, used to compare parts to a whole in data analysis, surveys, and statistics.
2
Total Value Calculation
This involves summing individual values to get the whole. In voting problems, total votes are the sum of votes for all candidates, which is required to calculate vote percentages.
3
Difference of Percentages
This is the subtraction of two percentage values to find the change or gap between them. It is used to compare proportional values across different time periods or groups.
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