SOLUTION: There are two glasses of equal size, A and B. Glass A is empty and Glass B contains some water. Half of the water in glass b is poured into glass a. this process is repeated two

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: There are two glasses of equal size, A and B. Glass A is empty and Glass B contains some water. Half of the water in glass b is poured into glass a. this process is repeated two      Log On


   

Question 340403: There are two glasses of equal size, A and B. Glass A is empty and Glass B contains some water. Half of the water in glass b is poured into glass a. this process is repeated two more times - each time half of what is left in glass b is poured into glass a. at the end of these three pourings, glass a is half full. How much water is now left in glass b?
Answer by solver91311(24713) About Me  (Show Source):
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Let represent the amount of water in full glass units contained in glass B.

After the first pouring,

Glass A contains
Glass B contains

After the second pouring

Glass A contains
Glass B contains

After the third pouring

Glass A contains
Glass B contains

But since Glass A is now one-half full, we know that:



Solving



of a glass full was the beginning amount in Glass B. Since Glass B now contains of the original amount, Glass B must now contain of a full glass.


John

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