For a certain rectangular region, the ratio of its length to its width is 35 to 10. If the width of the rectangular region increases by 7 units, how must the length change to maintain this ratio?
Correct answer: B. It must decrease by 24.5 units.
- A. It must increase by 24.5 units.
- B. It must decrease by 24.5 units.
- C. It must decrease by 7 units.
- D. It must increase by 7 units.
Explanation
The correct answer is Option B. The length must decrease by 24.5 units when the width of the rectangular region increases by 7 units to maintain the ratio of 35 to 10. This can be calculated by setting up a proportion and solving for the change in length. The other options are incorrect because they do not account for the necessary change in length to maintain the given ratio.
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About Quantitative Reasoning
Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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