Algebra from OG

[Alex77]

Drum X is 1/2 full of oil and drum Y, which twice the capacity of drum X, is 2/3 full of oil. If all the oil in drum X is poured into drum Y, then drum Y will be filled to what fraction of its capacity?

1- 3/4
2- 5/6
3- 11/12
4- 7/6
5- 11/6

[truplayer256]

3?
Let x equal Drum X's capacity and let 2x equal Drum Y's capacity. We're told that Drum X is 1/2 full and that Drum Y is 2/3 full. So:
Amount of oil in Drum X= x/2
Amount of oil in Drum Y= 2x(2/3)=4x/3

x/2+4x/3/(2x)=11/12

[welcome]

X jar capacity is A - so filled up is A/2
Y jar capacity is 2A - so filled up is 2/3*2A

so after poring in Y full will be = A/2+ 4A/3 = 11A/6

Filled portion will be 11A/6/2A = 11/12 - Answer.

[Alex77]

Yeap.
I came up to 11/12 Ans3 too.
Cheers.