High School

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82 people work in Lara's office. Last year, 62 of them went on holiday. Which of these percentages is closest to the number that went on holiday?

A. 45%
B. 55%
C. 65%
D. 75%
E. 85%
F. 95%

Answer :

To determine the percentage of people who went on holiday from Lara's office, we need to follow these steps:

  1. Identify the Total and the Part:

    • Total number of people in the office: 82
    • Number of people who went on holiday: 62
  2. Calculate the Percentage:

    We use the formula for percentage:

    [tex]\text{Percentage} = \left(\frac{\text{Number of people who went on holiday}}{\text{Total number of people}}\right) \times 100[/tex]

    Plug the values into the formula:

    [tex]\text{Percentage} = \left(\frac{62}{82}\right) \times 100[/tex]

    [tex]\text{Percentage} = 0.756 \times 100[/tex]

    [tex]\text{Percentage} = 75.6\%[/tex]

  3. Find the Closest Option:

    The calculated percentage is 75.6%, and from the given options, the closest percentage is 75%.

Thus, the percentage option closest to the number of people who went on holiday is 75%.

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