Examkin

Question

Difficulty: MediumCalculating Percentages of Quantities

An aviation squadron is allotted a total of 12,00012,000 flight hours for the training year. During the first quarter, the squadron uses 28%28\% of its total allotted hours. During the second quarter, it uses an additional 35%35\% of the total allotted hours. How many flight hours remain for the rest of the year?

  1. 4,4404,440Answer
  2. B
    5,6165,616
  3. C
    7,5607,560
  4. D
    444444

Answer

The squadron has 4,4404,440 flight hours remaining.
The total percentage of flight hours used in the first two quarters is the sum of 28%28\% and 35%35\%, which equals 63%63\%. To find the remaining percentage, subtract this from 100%100\%, leaving 37%37\%. Finally, to find the exact number of hours left, calculate 37%37\% of the total 12,00012,000 hours by multiplying 12,00012,000 by 0.370.37, which results in 4,4404,440 hours.

Step-by-Step Solution

1
Add the percentages of flight hours used in the first and second quarters.
28%+35%=63%28\% + 35\% = 63\%
This determines the total percentage of the allotted hours that have already been consumed.
2
Subtract the total used percentage from 100%100\% to find the remaining percentage.
100%−63%=37%100\% - 63\% = 37\%
This represents the percentage of the total flight hours that are still available for the rest of the year.
3
Calculate 37%37\% of the total 12,00012,000 flight hours.
0.37×12,000=4,4400.37 \times 12,000 = 4,440
Converting the remaining percentage to a decimal and multiplying it by the total allocation yields the actual number of remaining hours.

Key Concept

Calculating Percentages of Quantities
Rate this question

Topics

Calculating Percentages of Quantities

More questions from this topic