Rounded Weight and Actual Weight

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A quantity of substance weighing 2.83 milligrams, rounded to the nearest hundredth of milligram, was sold according to the latest market price, which was $18.66 per milligram, rounded to the nearest cent. The actual price used in this sale, in dollars per milligram, must have been between

Review: Rounded Weight and Actual Weight


Explanation

We have two rounded quantities in a rate. The value 2.83 has been rounded, so the actual value could be lower or higher. Ditto for 18.66. To determine the lowest fraction of the two, we take the least possible numerator and the greatest possible denominator. The bottom limit for the numerator is 18.655 and the upper limit for the denominator is 2.835, so that's the lowest fraction. Only (D) has that correct. We double check that the second fraction has the inverse logic.

The correct answer is (D).


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