Problem of the Week Solution

Molly’s Problem of the Week Solution

Problem Solution
The first step in solving this problem is to create an equation that represents it, like the one below…
( (f *2-g)*2-g)*2-g= 0
In this equation f is the starting number of flowers and g is the number left at every grave.
The equation should be set equal to zero because the man wants to be left with no flowers.

Problem Solution
The next step is to solve the equation.
((f*2-g)*2-g)*2-g=0
(2f-g)*2-g)*2-g=0
(4f-2g-g)*2-g=0
(4f-3g)*2-g=0
8f-6g-g=0
8f-7g=0
8f=7g

Problem Solution
8f=7g
Assume that f and g are nonnegative integers because you can not have a negative or fractional number of flowers.
f=7g/8, so 7g must be a multiple of 8, and therefore g must be a multiple of 8.
g=8f/7, so 8f must be a multiple of 7, and therefore f must be a multiple of 7.

Problem Solution
Possible solutions are…
f=7, if g=8
f=14, if g=16
f=21, if g=24
ect.
Another possible solution is for the man to snub all the graves. In this situation…
f=0 anfg=0

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Problem of the Week Solution

by MollyOConnell on Jan 12, 2011

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Problem of the Week Solution — Presentation Transcript