Comparing Car Counts at a Location

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The number of cars present at a particular time was measured at 3,999 different locations on Tuesday and on Wednesday. The number of locations that had more cars on Wednesday was 15% higher than the number of locations that had more cars on Tuesday. How many of the locations had more cars on Tuesday?

Review: Comparing Car Counts at a Location


Explanation

The question states that all these 3,999 locations were measured twice, once on each day. It also breaks the 3,999 into two groups, the higher-on-Tuesday locations and the higher-on-Wednesday locations, which we can call T and W. Therefore, we can write two equations:





Substituting the second equation into the first one, we have







If we do just two places of the long division, we can narrow the answer choices to one:



The correct answer is (C).


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