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

Algebra ->  Customizable Word Problem Solvers  -> Misc -> 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      Log On

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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) About Me  (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) About Me  (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