Here is a problem
this is not a problem from any book .It is my own difficulty.
I have solved a problem & I wonder if something very similar could be applied here as well .........i.e., here I give you two problems ; the first one is solved & if the the second one could also be solved in the same way is what I ask you .
prob1]] I have some money on monday morning,from which I spend half on food and from the remaining I spend$200 on charity[on a per day basis]. This continues till friday when I have only $25 left with me in the evening , after my spendings .How much did I have on wednesday?
soln]]let thie money I spend on each day be x , so on friday things may be defined as x-x/2-200=25 => x=450 => I spend $425 on friday morning
Thus on each day things may be defined as :
425*2^n-200 , for friday n=1, & for wednesday n=3 .....etc
now the prob I ask you is prob2]] :
In a sports contest medals were awarded over 6 days.On the 1st day 1 medal & 1/7th of the remaing medals were awarded. On the 2nd day 2 medals & 1/7 th of the remaining were awarded& so on till the 5th day.On 6th day all the remaining were awarded. what could be the minimum number of medals that were awarded during the 6 days
Also could it be solved by number system or modular algebra.............
I mean it is just a figment of my imagination......could it be?
regards
Sujoy
this is not a problem from any book .It is my own difficulty.
I have solved a problem & I wonder if something very similar could be applied here as well .........i.e., here I give you two problems ; the first one is solved & if the the second one could also be solved in the same way is what I ask you .
prob1]] I have some money on monday morning,from which I spend half on food and from the remaining I spend$200 on charity[on a per day basis]. This continues till friday when I have only $25 left with me in the evening , after my spendings .How much did I have on wednesday?
soln]]let thie money I spend on each day be x , so on friday things may be defined as x-x/2-200=25 => x=450 => I spend $425 on friday morning
Thus on each day things may be defined as :
425*2^n-200 , for friday n=1, & for wednesday n=3 .....etc
now the prob I ask you is prob2]] :
In a sports contest medals were awarded over 6 days.On the 1st day 1 medal & 1/7th of the remaing medals were awarded. On the 2nd day 2 medals & 1/7 th of the remaining were awarded& so on till the 5th day.On 6th day all the remaining were awarded. what could be the minimum number of medals that were awarded during the 6 days
Also could it be solved by number system or modular algebra.............
I mean it is just a figment of my imagination......could it be?
regards
Sujoy