SOLUTION: Hi There were 3 glasses containing the same volume of milk. Allen poured 210ml fro m A to C and 150ml from B to C. In the end the ratio in A to B was 3 to 8 . What was the vol

Question 1200791: Hi
There were 3 glasses containing the same volume of milk. Allen poured 210ml fro m A to C and 150ml from B to C. In the end the ratio in A to B was 3 to 8 . What was the volume at first in each glass
Thanks

Found 2 solutions by Solver92311, mananth:
Answer by Solver92311(821) (Show Source): You can put this solution on YOUR website!

Let represent the amount of milk in each glass at the start. Then the amount remaining in A is ml, and the amount remaining in B is ml.

The ratio of the two remaining amounts is then:

Which is given to be equal to , hence

Solve for .

Hint: Cross-products are equal in any proportion.

Don't forget to specify your answer as some number of milliliters (ml).

John

My calculator said it, I believe it, that settles it

From
I > Ø

Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
.
x-210/x-150 = 3/8
8(x-210) =3(x-150)
8x-1680 =3x-450
5x =1230
X= 246 ml
Each contain 246 ml

RELATED QUESTIONS
Hi all the orange juice in a carton was poured into 3 containers, A B C.20ml was poured... (answered by Theo)
Hi Containers A B and C contained water. 1/5 was poured from A to B. 1/6 of the water... (answered by CPhill)
The problem goes as follows: Two metal balls are placed in a cylinder containing water.... (answered by josgarithmetic)
There are two barrels, one containing 40 gallons of wine and 60 gallons of water, the... (answered by greenestamps)
Hi there were 900 sweets in boxes a b c.18 sweets were transfered from a to b.5 sweets... (answered by josgarithmetic,ikleyn)
There are two types of canned coffee with the same volume, milk coffee and black coffee.... (answered by stanbon)
Hi There were some oranges in baskets A B and C. The ratio of A to B and C is 1 to 4.... (answered by CPhill,ikleyn)
Hi there were 160 paperclips in 4 boxes A B C D. 12 paperclips were transfered from A to (answered by richwmiller)
If John gives Allen $5 and Allen gives Frank $2, the 3 boys will have the same amount of... (answered by edjones)