need to divide 2,220,000 into *something*, then that *something* into *something else

agapoula19

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I need to divide 2,220,000 into *something*, and then that *something* into *something else*, which would give me the final result of 406.

Ex:
2,220,000 / X
X / Y = 406

What are X and Y?


I am drawing such a blank, please help!
Thank you!

Christina
 
Erm, sorry, but I hope you'll bear with me, as I'm really having trouble deciphering what it is you're asking. I think you're asking about something like the following:

\(\displaystyle \dfrac{\left( \dfrac{2220000}{X} \right)}{Y} = 406\)

And you'd need to solve for X and Y. But I'm also not sure this is the correct interpretation, as with only one equation and two variables, there's no possible way to get a unique solution. The best you could do is to get X in terms of Y or vice versa. For instance, if we let X = 1, then:

\(\displaystyle \dfrac{\left( \dfrac{2220000}{1} \right)}{Y} = 406 \implies Y = \dfrac{1110000}{203} \approx 5467.98\)

I trust you can do the math and see what happens if X = 2, 3, 4, etc.
 
I need to divide 2,220,000 into *something*, and then that *something* into *something else*, which would give me the final result of 406.

Ex:

2,220,000 / X

X / Y = 406

What are X and Y?
It seems like your example uses symbol X to represent two different things.

If we let X = 2, then your example shows:

2220000 / 2

2 / Y = 406

I'm wondering if you meant this instead:

2220000 / 2 = 1110000

1110000 / Y = 406

If so, then your example needs another symbol:

2220000 / X = Z

Z / Y = 406

Or, you could combine the two operations into a single equation:

(2220000 / X) / Y = 406

There are infinite pairs of X and Y values that work because 406 can be written as a ratio of two numbers in infinitely many ways.

In other words, you could pick any non-zero number for X and then find the corresponding value for Y. You could then pick a different value for X and find the new corresponding value for Y. Repeat forever …

If I have misunderstood your question, please provide the entire text of this exercise and clarify your example. :cool:
 
I need to divide 2,220,000 into *something*, and then that *something* into *something else*, which would give me the final result of 406.

Ex: 2,220,000 / X
The expression "2,220,000 / X" means that X is being divided into 2,220,000. Is that what you actually meant? Or should the expression actually be "X / 2,220,000"?

Also, what is your meaning for "that *something*"? Are you starting an entirely new process, as the grammar suggests (which would make the 2,220,000 irrelevant), or are you saying that you are wanting to divide the results of the first step into some other quantity, so that the expression should be along the lines of "Y / (X / 2,220,000)"?

Note: Given only the one equation with two unknowns, it is not possible to find a unique solution. Unless there is further information, there may be no answer to this question. Are you sure that you copied it correctly from your homework assignment? Thank you! ;)
 
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