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Difficulty: MediumCalculating Percentages of Quantities

During a field training exercise, an armored vehicle consumes 45%45\% of its total fuel capacity on the first day and 30%30\% of its total fuel capacity on the second day. If the vehicle has a total fuel capacity of 400400 gallons, how many gallons of fuel remain at the end of the second day?

  1. A
    154
  2. B
    325
  3. 100Answer
  4. D
    300

Answer

100
The vehicle consumed a total of 75% of its fuel capacity (45% + 30%). This means 25% of its original capacity remains. Multiplying the total capacity of 400 gallons by 0.25 gives 100 gallons remaining.

Step-by-Step Solution

1
Calculate the total percentage of fuel consumed over the two days.
45%+30%=75%45\% + 30\% = 75\%
Both percentages are based on the total fuel capacity, so they can be added together.
2
Determine the percentage of fuel remaining.
100%−75%=25%100\% - 75\% = 25\%
The total capacity represents 100%. Subtracting the consumed percentage gives the remaining percentage.
3
Calculate the remaining gallons by finding 25% of the total capacity.
0.25×400=1000.25 \times 400 = 100 gallons
This converts the remaining percentage into the actual remaining volume of fuel.

Key Concept

Calculating percentages of a whole and finding the remaining amount after multiple percentage reductions.
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Topics

Calculating Percentages of Quantities

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