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Question

Difficulty: MediumCalculating Percentages of Quantities

A military convoy is scheduled to travel a total distance of 1,5001,500 miles over a multi-day operation. If the convoy completes 32%32\% of the total distance on the first day, how many miles does the convoy have left to travel?

  1. A
    102
  2. B
    480
  3. 1,020Answer
  4. D
    1,468

Answer

1,020
The correct answer is found by determining that if 32 percent of the trip is complete, 68 percent remains. Calculating 68 percent of 1,500 miles gives exactly 1,020 miles. Alternatively, one could find that 32 percent of 1,500 is 480 miles, and then subtract 480 from 1,500 to get 1,020 miles.

Step-by-Step Solution

1
Determine the percentage of the distance remaining to be traveled.
100%−32%=68%100\% - 32\% = 68\%
Since 32 percent of the distance is completed, the rest of the distance is the remaining percentage of the total.
2
Calculate the remaining distance by finding 68%68\% of 1,5001,500 miles.
1,500×0.68=1,0201,500 \times 0.68 = 1,020 miles
Multiplying the total distance by the remaining decimal percentage gives the remaining physical distance.

Key Concept

Calculating Percentages of Quantities

Alternative Method

Find the completed distance first by calculating 32%32\% of 1,5001,500 (0.32×1,500=4800.32 \times 1,500 = 480 miles). Then subtract that distance from the total distance (1,500−480=1,0201,500 - 480 = 1,020 miles).
Estimated Time:1m 0s
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Topics

Calculating Percentages of Quantities

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