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Mathematics 21 Online
OpenStudy (anonymous):

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OpenStudy (johnweldon1993):

Well the total liters they need is 100000 Each trailer can carry 2400 + 2200 = 4600 liters So how many trailers would it take? \[\large \frac{100000}{4600} = ?\]

OpenStudy (anonymous):

that should be around 22

OpenStudy (anonymous):

i was thinking it would be 2400x + 2200y = 100000

OpenStudy (anonymous):

and then have the inequality of x >= y >= 0

OpenStudy (anonymous):

(to fulfill the contract)

OpenStudy (johnweldon1993):

It would be like that if the trailers could run by themselves, but they're just attached to the tankers...so they just fall in with them

OpenStudy (johnweldon1993):

But as far as I see.....22 is correct :)

OpenStudy (anonymous):

oh :/

OpenStudy (anonymous):

I don't think it is, it's supposed to be a greatest common divisor question

OpenStudy (johnweldon1993):

Aww why the face :( hmm, lets see...maybe I'm missing something here

OpenStudy (anonymous):

Haha sorry, but there's no way it can be that easy

OpenStudy (johnweldon1993):

No I agree if its not just a simple algebra problem lol...trying to see what I'm missing :P

OpenStudy (anonymous):

I did come up with a solution though, don't know if it's right though

OpenStudy (johnweldon1993):

Actually, what did you come up with?

OpenStudy (anonymous):

well basically there are 4 possible solutions for the equation 12x + 11y = 500

OpenStudy (anonymous):

(divided by 200)

OpenStudy (anonymous):

we have (5,40), (16,28), (27,16) and (38,4)

OpenStudy (anonymous):

However, only two of them fall into the inequality condition (which is x >= y >= 0)

OpenStudy (anonymous):

which are the last two...

OpenStudy (anonymous):

and since x is the number of tanker and y is the number of trailers... we choose the lower x

OpenStudy (anonymous):

which is 27.........

OpenStudy (anonymous):

SoOoOo yeah.

OpenStudy (anonymous):

that's what i'm thinking, hope that makes sense

OpenStudy (johnweldon1993):

Nope that is absolutely correct!! haha sorry for thinking it was simpler than it was, haven't worked with euclidean in a while!

OpenStudy (anonymous):

are you serious??

OpenStudy (johnweldon1993):

Yes!! and your reasoning is perfect as well, exactly the train of thought you needed to have here

OpenStudy (anonymous):

oh my gawdddddd..... I need a nap. I've been thinking this was wrong for so long!!

OpenStudy (anonymous):

Thanks for helping though! <3

OpenStudy (johnweldon1993):

Lol NO!!!! dont second *or like 100x over* guess yourself lol That's what I was doing on my fluid mechanics for the past hour XD Good job <3

OpenStudy (anonymous):

B) Thanks!

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