Question

Difficulty: EasyPercentage Calculations

A recruit training battalion consists of 500500 recruits. If 15%15\% of the recruits are scheduled for a dental examination today, how many recruits are scheduled for the examination?

  1. A
    15
  2. 75Answer
  3. C
    425
  4. D
    750

Answer

75
To find 15%15\% of 500500, the percentage must be converted to a decimal (0.150.15) and multiplied by the total base amount. Alternatively, using mental math, 10%10\% of 500500 is 5050, and 5%5\% is 2525. Adding those together yields 50+25=7550 + 25 = 75.

Step-by-Step Solution

1
Convert the percentage to a decimal or fraction.
15%=0.1515\% = 0.15
Percentages must be converted into a workable decimal format before multiplying by the base number.
2
Multiply the total number of recruits by the decimal value.
500×0.15=75500 \times 0.15 = 75
Multiplying the base amount by the percentage rate gives the final part.

Key Concept

Calculating a basic percentage of a whole number.
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