1.22. We have two identical glasses. Glass 1 contains x ounces of wine; glass 2 contains x ounces of water (x ≥ 1). We remove 1 ounce of wine from glass 1 and add it to glass 2. The wine and water in glass 2 mix uniformly. We now remove 1 ounce of liquid from glass 2 and add it to glass 1. Prove that the amount of water in glass 1 is now the same as the amount of wine in glass 2.
1.22. We have two identical glasses. Glass 1 contains x ounces of wine; glass 2 contains x ounces of water (x ≥ 1). We remove 1 ounce of wine from glass 1 and add it to glass 2. The wine and water in glass 2 mix uniformly. We now remove 1 ounce of liquid from glass 2 and add it to glass 1. Prove that the amount of water in glass 1 is now the same as the amount of wine in glass 2.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:1.22. We have two identical glasses. Glass 1 contains x ounces of wine; glass 2
contains x ounces of water (x ≥ 1). We remove 1 ounce of wine from glass 1 and
add it to glass 2. The wine and water in glass 2 mix uniformly. We now remove 1
ounce of liquid from glass 2 and add it to glass 1. Prove that the amount of water
in glass 1 is now the same as the amount of wine in glass 2.
Expert Solution
Step 1
Given:
It is given that glass 1 contains ounces of wine and glass 2 contains ounces of water. Here, .
Now, 1 ounce of wine is removed from glass 1 and it is added to glass 2.
After mixing the liquid uniformly in glass 2, one ounce of liquid is removed from grass 2 and is added to glass 1.
To Prove:
We show that the amount of water in glass 1 is as same as the amount of wine in glass 2.
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