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Difficulty: MediumCalculating Percentages of Quantities

A military supply depot receives a shipment of 5,0005,000 equipment crates. Upon initial sorting, 20%20\% of the crates are assigned to the aviation unit. Of the remaining crates, 35%35\% are assigned to the infantry unit. How many crates are assigned to the infantry unit?

  1. A
    140
  2. 1,400Answer
  3. C
    1,750
  4. D
    2,600

Answer

1,400
The problem requires a two-step percentage calculation. First, find the remaining crates after 20%20\% are taken from the initial 5,0005,000 crates, leaving 4,0004,000 crates. Second, calculate 35%35\% of that remaining 4,0004,000 crates, which equals 1,4001,400.

Step-by-Step Solution

1
Calculate the number of crates assigned to the aviation unit.
5,000×0.20=1,0005,000 \times 0.20 = 1,000
To find how many crates are removed from the initial shipment.
2
Subtract the aviation crates from the total to find the remaining crates.
5,000−1,000=4,0005,000 - 1,000 = 4,000
The infantry receives a percentage of the remaining crates, not the original total.
3
Calculate the number of crates assigned to the infantry unit from the remaining amount.
4,000×0.35=1,4004,000 \times 0.35 = 1,400
This answers the specific question asked.

Key Concept

Calculating percentages of a remaining quantity in a multi-step scenario.

Alternative Method

Instead of calculating the 20%20\% and subtracting, you can find the remaining percentage directly: 100%−20%=80%100\% - 20\% = 80\%. Then, 5,000×0.80=4,0005,000 \times 0.80 = 4,000. Finally, 4,000×0.35=1,4004,000 \times 0.35 = 1,400.
Estimated Time:1m 0s
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Topics

Calculating Percentages of Quantities

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