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Ten workers perform one job in five days 2007-08-21
From Kenneth:
If ten workers perform one job in 5 days, one person performs one job in how many days?

Here is the calculation that I used:
(10 workers X 1 job X 5 days)/(1 person X 1 job X ? days)

The above equals 50/1, and the answer is 50 days because 50/1 = 50. In this calculation I can determine any number of workers or days if the number of jobs remains the same as that in the group of factors from the numerator (10 workers X 1 job X 5 days), that is 1 job. Here is another example to help clarify: (10 workers X 1 job X 5 days)/(? workers X 1 job X 10 days) This equals 50/10. The answer is 5 workers. So, if 10 workers can perform 1 job in 5 days, 5 workers can perform 1 job in 10 days.

Now, if I replace "1 job" from (10 workers X 1 job X 5 days) with a different number, for example, 4 jobs, this amount will prevent the calculation from producing the correct answer.

Here is an example: (10 workers X 1 job X 5 days)/(10 workers X 4 jobs X ? days) Mathematically, the calculation works, but the answer, 1.25 days, is not correct, if I'm not mistaken. If 10 workers can perform 1 job in 5 days, they cannot, by working at the same rate, perform 4 jobs in 1.25 days.

Can you explain, with a simple explanation, why the number representing the jobs in this calculation needs to be the same in the group of factors in both the numerator and in the denominator in order to provide the correct answer?

Answered by Harley Weston.
Jobs relating to the topics of ratios and proportions 2005-05-17
From Alexa:
What are some jobs relating to the topics of ratios and proportions other than architects and map makers?
Answered by Walter Whiteley.
Math jobs 2003-12-12
From Veronica:
Do you know a couple of jobs I can get when I am older in Math?
Answered by Harley Weston.
Motivators 2001-01-16
From Michelle Stapley:
Do you know of any (or where I can find) student motivators for math at the secondary level? Basically any way I can motivate my students to WANT to learn math.
Answered by Penny Nom.
Math in various careers 2000-04-18
From Jennifer Jones:
I am a Fifth grade student researching how math is used in various careers. What kind of math is used in your career? How do you use math?
Answered by Harley Weston.
Work jobs 1999-04-19
From Cindy Miller:
Hi. I'm a college student, majoring in Elementary Education. This semester I am taking a math class for elementary school teachers.

I'm not sure if you can help out, but here is what I need. For the class, I am supposed to make 10 work jobs for students. Simple things that teach math that students can work on individually, for example after finishing a test.

If you have any suggestions, I would really appreciate it.
Answered by Penny Nom.

 
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