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Need help answering a math problem.?

Hello,

I'm taking an exam in a couple of days and need help.

I've been using a study booklet to prepare for a clerical exam. So far I've done really well on all the mini-tests provided in the book until I came across one problem I answered incorrectly.

I don't understand how to answer the problem correctly. I need help understanding this math problem. Here's the question:

"Assume a city agency has 775 office workers.

If 2 out of 25 office workers were absent on a particular day, how many office workers reported to work on that day?"

The answer is in my book but I need help understanding how to work this problem. Will someone please help me answer the problem correctly and explain how they found the answer.

It's important to me to understand the problem. PLEASE HELP!

Thank you so much!

9 Answers

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  • 1 decade ago
    Favorite Answer

    Hey,

    Let me help you in solving this problem!

    The problem says: "Assume a city agency has 775 office workers.

    If 2 out of 25 office workers were absent on a particular day, how many office workers reported to work on that day?"

    Number of workers that reported to work on that day =

    Total number of workers - Numbers of workers that were absent on that day = 713

    As stated in the problem, 2 out of 25 office workers were absent on a particular day.

    Or, I can say that out of 25 workers, 2 were absent on a particular date.

    So,

    Number of workers that were absent out of 775 workers

    = (2/25) * 775

    = 2 * (775/25)

    = 2 * 31...............................[Simplify]

    = 62

    Out of 775 workers 62 were absent.

    So,

    Number of workers that reported to work on that day = 775 - 62 = 713

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  • 1 decade ago

    If it means 2 out of every 25 workers (as it probably does) you need to know how many groups of 25 there are in 775 (31) then take 2 from each of the 31 to get 62 to find the number absent, then take this from 775 to see that 713 reported to work.

    In equation form:

    Reporters = 775 - (775/25)x2

  • 1 decade ago

    2 / 25 is the fraction and we have to make the denominator 775

    775/25= 31

    2 x 31 = 62

    fraction= 62/ 775 (absent)

    775-62 = 713 (present)

  • 1 decade ago

    It means, that if you take 25 office workers out of those 775, 2 were away.

    So just get the ratio.

    775/25 = 31

    31 x 2 = 62

    775 - 62 = 713 workers reported to work.

    Its 2/25 or 62/775 workers were not there, therefore 713/775 were.

    Hope i helped :)

    Source(s): Yr 11 high maths :)
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  • Anonymous
    1 decade ago

    First, you should find a multiplier to link the 25 to the 775. To do this, we just divide the numbers.

    775/25 = 31

    Now we have a multiplier of 31, we then just use this on our stat.

    2 x 31 = 62

    2 x 25 = 775

    Therefore, 62 out of 775 workers did not attend to work that day.

    If you want to find the number of attendees, just subtract your answers.

    775-62 = 713 workers attended work that day.

  • Anonymous
    1 decade ago

    2 out of 25 is the fraction:

    2

    --

    25

    if 25 out of 25 office workers were present, then all 775 reported to work, but we have

    25 - 2

    --------- =

    25

    23

    ---- reported to work

    25

    23

    ---- * 775 = 23 * 31 = 713

    25

    when you divide 775 by 25 you get 31

  • David
    Lv 7
    1 decade ago

    2/25=x/775

    cross multiply

    25x=1550

    x=62

  • 6 years ago

    n - 8 = m

  • 5 years ago

    Kate buys a meal with 9% sales tax. She tips 19% of the bill before adding the sales tax. She pays a total of $23.35. What should be the original cost of the meal?

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