SAT PRACTICE MATH QUESTION URGENT: If an oil tank contains 60 gallons of fuel and is 5/12 full, how many gallons does the tank hold when full?

- iwanttogotostanford

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- anonymous

60*12/5=?

- iwanttogotostanford

@Vocaloid @zepdrix

- Vocaloid

(5/12)*x = 60
where x = the full tank
solve for x

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## More answers

- Vocaloid

still there?

- iwanttogotostanford

yes, sorry @Vocaloid

- iwanttogotostanford

@Nnesha @zepdrix

- zepdrix

|dw:1443990443635:dw|It might be easier if you just draw an illustration of what is going on.

- zepdrix

So I took a tank or box,
and split it into 12 parts.
When 5 of them are full, the tank has 60 gallons.
So how much does each "twelfth" contain? each cell.

- iwanttogotostanford

I am guessing it would end up to be 128???@zepdrix do you have any other "strategic" way to do this problem???

- iwanttogotostanford

@zepdrix

- zepdrix

5/12 is 60.
So this problem is 2 steps:
Figure out how much 1/12 is.
Then figure out how much 12/12 is.
If 5/12 is 60,
Then 1/12 is that same 60 but divided by 5, ya?

- zepdrix

Come onnnnn broski >.<
You gotta respond if you wanna go to Stanford! lol

- iwanttogotostanford

i know

- iwanttogotostanford

haha

- iwanttogotostanford

math is my "worst" subject

- zepdrix

We have 5 parts giving us 60.
How big are each of those parts?

- iwanttogotostanford

12/

- zepdrix

Ok good.
So each part is 12 gallons.
That "part" represents 1/12 of the entire tank.
So to fill up the tank completely, we need 12 of those.

- iwanttogotostanford

ok

- zepdrix

So how much is that? :)
12 of those 12 gallons?

- iwanttogotostanford

144?? ....

- zepdrix

yay good job \c:/

- iwanttogotostanford

so thats all?? It takes 144 gallons?

- zepdrix

yes.
maybe the fractions are what's giving you some trouble here...
If we take out the fraction business.
This problem really boils down to:
~How many gallons in one part
~How many parts in total

- zepdrix

So it requires a division step,
which tells you how many gallons in each part
then a multiplication step,
multiplying the `gallons per part` by the `number of parts`

- iwanttogotostanford

oh ok

- iwanttogotostanford

but the actual answer to the problem is 128

- zepdrix

it is? 0_o
sec lemme reread it :D lol

- iwanttogotostanford

ok!

- zepdrix

Are you sure you matched up the answer key correctly? 0_o
It should be 144... hmm weird
5/12 is 60
so
10/12 is 120
and
2/12 is two of those 12's.
I don't see any way to get to 128.

- iwanttogotostanford

ah yes it is 144.... i marked my own answer wrong too lol

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