LENGTH OF UNEMPLOYMENT FOR WORKERS IN REGION X FOR TWO INDUSTRIES, 2003 Note: The circle graphs show the distributions of worke

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问题 LENGTH OF UNEMPLOYMENT FOR WORKERS IN REGION X FOR TWO INDUSTRIES, 2003

Note: The circle graphs show the distributions of workers who were unemployed for at least 1 week in 2003, by length of unemployment, rounded to the nearest week.
The ratio of the number of manufacturing industry workers who were unemployed for 5 to 10 weeks to the number of service industry workers who were unemployed for 5 to 10 weeks is closest to which of the following?

选项 A、5 to 4
B、6 to 5
C、3 to 2
D、5 to 2
E、7 to 6

答案C

解析 According to the graphs, the number of manufacturing industry workers who were unemployed for 5 to 10 weeks is 20% of 10 million, or 2 million; and the number of service industry workers who were unemployed for 5 to 10 weeks is 16% of 8 million, or 1.28 million. Thus, the ratio of the two numbers is 2 to 1.28.
    To answer the question, you must now determine which of the answer choices is closest to the ratio 2 to 1.28. A good way to compare ratios is to express each ratio as a fraction and then as a decimal, and then to compare the decimals. The ratio 2 to 1.28 can be expressed as the fraction, which is equal to the decimal 1.5625.
    Now look at the answer choices. As you go through the answer choices, keep in mind that you are trying to determine which is closest to 1.5625.
Choice A: 5 to 4 can be expressed as 5/4, which is equal to 1.25.
Choice B: 6 to 5 can be expressed as 6/5, which is equal to 1.2.
Choice C: 3 to 2 can be expressed as 3/2, which is equal to 1.5. Note that this ratio is close to 1.5625.
Choice D: 5 to 2 can be expressed as 5/2, which is equal to 2.5.
Choice E: 7 to 6 can be expressed as 7/6, which is approximately equal to 1.17.
Of the five choices, the ratio in Choice C is closest to 1.5625. The correct answer is Choice C.
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