Task 4. Solve the following problems using the 4 Steps of George Polya.
· 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?
Share
X had 104 stamps
Step-by-step explanation:
I will try to answer this question backwards
sorry if it wasnt your recommended way of solving it.
At the end, they have the same items
X = 64
Y = 64
Z = 64
if half of X and Y were given by Z therefore
X = 64/2= 32
Y = 64/2= 32
Z = 64 + 32 + 32 = 128
if half X and Z were given by Y, therefore
X = 32/2 = 16
Y = 32 + 16 + 64 = 112
Z = 128/2 = 64
if half of Y and Z were given by X, therefore
X = 16 + 56 + 32 = 104
Y = 112/2 = 56
Z = 64/2 = 32
therefore, X had 104 stamps from the start