<PRE><B>Question 169323</B>
the answer is 3864/.4 = 9660 
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you answer the question.
x * .4 = 1
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this means what do you need to multiply .4 by in order to make it equal to 1.
you divide both sides of the equation by .4 to get
x = 1/.4 = 2.5
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this means you have to multiply .4 by 2.5 in order to make it equal to 1.
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if you can make 3864 cartons in .4 hours, then you can make 2.5 times that much in 1 hour which equals 9660.
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another way of looking at it is:
you make 3864 in .4 hours.
this translates to 60*.4 = 24 minutes.
if you can make 3864 in 24 minutes, then you can make 3864/24 in 1 minute since 1 minute is 1/24 times 24 minutes.
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3864/24 = 161 cartons per minute.
multiply that by 60 and you get 9660 cartons in 60 minutes.
since 60 minutes equals 1 hour, you get 9660 cartons in 1 hour.
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the basic formula is that the rate per unit time is the number of units produced divided by the time it takes to produce them.
that means 3864/.4 = 9660 units per hour, since the .4 was in hours.
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what you are really doing is dividing 3864 by 1 and then multiplying that by 1 divided by .4 which is the equation for determining how many times you have to multiply .4 hours to get 1 hour.
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long winded answer but i was playing with how to derive number of units per hour from number of units per time other than 1 hour.
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it&#39;s a simple process of dividing the number of units by the amount of time it takes to make them.
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alternate example:
3864 units in 4 hours.
how many per hour?
it&#39;s 3864 / 4 = 966.
how come?
what do you have to multiply 4 hours to get 1 hour?
equation is:
x * 4 = 1
x = 1/4 = .25
answer is .25
if you can make 3864 in 4 hours, then you can make .25 times as much in 1 hour = 966.
same idea.


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