Solve the following problems using the 4 Steps of George Polya. 1. X, Y, Z collect stamps. They exchange stamps among themselves according to the following scheme: X gives Y as many stamps as Y has and Z as many stamps as Z has. After that, Y gives X and Z as many.stamps as each then has, and then Z gives X and Y as many stamps as each has. If each finally has 64 stamps, with how many stamps does X start?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 27EQ
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Solve the following problems using the 4 Steps of George Polya.
1. X, Y, Z collect stamps. They exchange stamps among themselves according to the following
scheme: X gives Y as many stamps as Y has and Z as many stamps as Z has. After that, Y gives
X and Z as many. stamps as each then has, and then Z gives X and Y as many stamps as each
has. If each finally has 64 stamps, with how many stamps does X start?
Transcribed Image Text:Solve the following problems using the 4 Steps of George Polya. 1. X, Y, Z collect stamps. They exchange stamps among themselves according to the following scheme: X gives Y as many stamps as Y has and Z as many stamps as Z has. After that, Y gives X and Z as many. stamps as each then has, and then Z gives X and Y as many stamps as each has. If each finally has 64 stamps, with how many stamps does X start?
Solve the following problems using the 4 Steps of George Polya.
1. X, Y, Z collect stamps. They exchange stamps among themselves according to the following
scheme: X gives Y as many stamps as Y has and Z as many stamps as Z has. After that, Y gives
X and Z as many. stamps as each then has, and then Z gives X and Y as many stamps as each
has. If each finally has 64 stamps, with how many stamps does X start?
Transcribed Image Text:Solve the following problems using the 4 Steps of George Polya. 1. X, Y, Z collect stamps. They exchange stamps among themselves according to the following scheme: X gives Y as many stamps as Y has and Z as many stamps as Z has. After that, Y gives X and Z as many. stamps as each then has, and then Z gives X and Y as many stamps as each has. If each finally has 64 stamps, with how many stamps does X start?
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