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20 Jul 2024, 10:57
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0% (00:00) correct
100% (00:39) wrong based on 8 sessions
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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?
A. 5 to 4
B. 6 to 5
C. 3 to 2
D. 5 to 2
E. 7 to 6
GMAT-Club-Forum-n1uy4ndp.jpeg [ 169.53 KiB | Viewed 190 times ]
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?
A. 5 to 4
B. 6 to 5
C. 3 to 2
D. 5 to 2
E. 7 to 6
Attachment:
GMAT-Club-Forum-n1uy4ndp.jpeg [ 169.53 KiB | Viewed 190 times ]
01 Sep 2024, 10:32
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Official Explanation
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 \(\frac{2}{1.28}\), 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.
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 \(\frac{2}{1.28}\), 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.
