Jeannot plays with a scale whose two bowls are in balance when you put on one a weight of 100g and on the other two equal keys, two equal coins and three equal game soldiers, or an apple, a soldier and an apricot. A coin, a key, a soldier and a plum together weigh 50g. The apricot, the apple and the plum together weigh as much as the coin, the key, the soldier and the feather. soldier and the spring of the alarm clock. Set up a system of equations and determine the weight of the feather! The system of equations is underdetermined, why can the weight of the feather still be determined unambiguously?

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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In my Lecture book there is a riddle, what is the solution?

 

Jeannot plays with a scale whose two bowls are in balance when you put on one a
weight of 100g and on the other two equal keys, two equal coins and three equal game soldiers,
or an apple, a soldier and an apricot.
A coin, a key, a soldier and a plum together weigh 50g.
The apricot, the apple and the plum together weigh as much as the coin, the key, the soldier and the feather.
soldier and the spring of the alarm clock.
Set up a system of equations and determine the weight of the feather! The system of equations is
underdetermined, why can the weight of the feather still be determined unambiguously?

Thank you in advance

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Solving the equation system my answers are not conclusiv. What step do i hav to do to get a conclusive solution?

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