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Mathematics 24 Online
OpenStudy (anonymous):

any geniuses out there than can help me with this?

OpenStudy (anonymous):

There are 3 rivers and after each river lies a grave. So there are 3 rivers and 3 graves. A man wants to leave the SAME amount of flowers at each grave, and be left with none at the end. What happens though is that each time he passes through one of the rivers the number of flowers he has doubles. So he has to start off with what number of flowers, taking into consideration that they double, so that he is left with no flowers whatsoever at the end?

OpenStudy (anonymous):

@TheSmartOne any idea?

OpenStudy (love_to_love_you):

Assuming he starts with x and at each grave he leaves y flowers at the grave

OpenStudy (love_to_love_you):

...after first crossing he has 2x then he has 2x - y at hand

OpenStudy (love_to_love_you):

after 2nd crossing he has 2 (2x-y) then he has 4x-2y - y = 4x -3y at hand at third crossing he has 2(4x-3y) and which equals to y so 8x - 6y = y or 8x = 7y

OpenStudy (love_to_love_you):

so one solution is x = 7 and y = 8

OpenStudy (love_to_love_you):

It goes like this: 14 - 8 = 6 2*6 = 12 12 - 8 = 4 4 * 2 = 8 8 - 8 = 0

OpenStudy (love_to_love_you):

Does that make sense?

OpenStudy (anonymous):

I had the answer the entire time, i justwanted to see if others could do it. Well done

OpenStudy (love_to_love_you):

Haha ok then, thanks!

OpenStudy (nothingwasthesame):

sorry i was forever

TheSmartOne (thesmartone):

@osamabinswaggin http://bit.ly/1D8BWLD

TheSmartOne (thesmartone):

@nothingwasthesame Cite your source... http://www.theproblemsite.com/problems/mathhs/2009/jan_5_solution.asp lol its the same thing that @osamabinswaggin took a screenshot of...

TheSmartOne (thesmartone):

...

OpenStudy (anonymous):

@nothingwasthesame how are you so dense?

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