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.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
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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.
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.
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