There were 3 glasses containing the same volume of liquid. Mr Lee poured 210 ml of the liquid from Glass A into Glass C, and 150 ml of the liquid from Glass B into Glass C. In the end, the ratio of the volume of liquid in Glass A to the volume of liquid in Glass B was 3:8.

Question

There were 3 glasses containing the same volume of liquid. Mr Lee poured 210 ml of the liquid from Glass A into Glass C, and 150 ml of the liquid from Glass B into Glass C. In the end, the ratio of the volume of liquid in Glass A to the volume of liquid in Glass B was 3:8.
A.) What was the final volume of liquid in Glass A?
B.) What was the volume of liquid in each glass at first?

Steve · Accepted Answer

(x-210)/(x-150) = 3/8 8x-1680 = 3x - 450 5x = 1230 x = 246 all glasses had 246 ml at first 246-210 = 36 ml left in A 246-150 = 96 ml left in B 36/96 = 3:8