High School

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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