Question

The volume of oil in container A and container B is the ratio 4: 7. 5 of the oil in container A is
poured into container B, of the oil in container B is then poured into container A. What is the n-
ratio of the volume of oil in container A to the volume of oil in container B?​

Answer 1

Answer:

5 : 6

Step-by-step explanation:

The volume of oil in container A and container B is the ratio 4: 7. 1/2 of the oil in container A is poured into container B. 1/3 of the oil in container B is then poured into container A. What is the new ratio of the volume of oil in container A to the volume of oil in container B

The volume of oil in container A and container B is the ratio 4: 7

Let say Oil in container A = 4 K

Then oil in Container B = 7K

0.5  (1/2) of oil in container A = 2K poured in Container B

=> A = 4K - 2K = 2K

& B = 7K + 2K = 9K

1/3 of the oil in container B is then poured into container A

(1/3) of oil in container B = (1/3)9K = 3K

=> B = 9K - 3K = 6K

& A = 2K + 3K = 5K

ratio of the volume of oil in container A to the volume of oil in container B

= 5K : 6K

= 5 : 6

Answer 2

Answer:

5:6

Let the ratio A :B = 4x :7x

1/2 of the oil A poured into container B

Now A container have

A =4x - 2x=2x

and B container have 7x+2x=9x

again B container poured into cantiainer A 1/3

Now B Container have 9x×1/3

= 3x

then B container have 9x-3x=6x

and A container have 2x+3x =5x

Now the new ratio A and B 5x: 6x =5:6