Re: Towns A, B, C, and D are all in the same voting district. Towns A and
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02 Jun 2023, 04:45
OE
This is an average question, so make an Average Pie any time the word average is used. Begin by figuring out how many supporters of the referendum are in each town. The question states that there is an average of 3,500 supporters in Towns B and D, so there is a total of 3,500 × 2 = 7,000 supporters in these towns. The question also states that Town B has 3,000 supporters, so the number of supporters in Town D is 7,000 − 3,000 = 4,000. Additionally, the question states that there is an average of 5,000 supporters in Towns A and C, so there is a total of 5,000 × 2 = 10,000 supporters in these towns.
It’s also stated that Town A has 3,000 supporters, so the number of supporters in Town C is 10,000 − 3,000 = 7,000. Now, compare the quantities. Quantity A is the average number of supporters for Towns C and D, and Quantity B is the average number of supporters for Towns B and C. Because both quantities use Town C, and both quantities ask for an average, those values cancel out and all that remains is to compare the number of supporters in Towns B and D. There are 3,000 supporters in Town B and 4,000 in Town D, so Quantity A is greater, and the correct answer is (A). Alternatively, solve for the average given in both quantities. However, the result is the same; the correct answer is (A).