Uncle Al was walking down the street one day, minding his own business, when he saw a sign advertising a free South sea cruise. he didn't have anything else to do that day, so he decided to go!! Unfortunately, the cruise turned out to be a cheap trip on a small boat, and after a big storm, Uncle Al and the other two passengers-- close personal friends, Bobo and Hobo-- were stranded on a desert island.
They spent their fist day gathering the only food they could fing (or catch), coconuts. they stacked all the coconuts in a big pile and went to sleep.
During that night, Uncle Al woke and thought that there might be some disagreement about dividing the coconuts in the morning, so he divided them into three piles. he found that there was one left over, so he gave it to the monkey who had been watching him work. he his his share, put the rest of the coco nuts back together, and went back to sleep.
Later that night, Bobo woke up, and having the same concern as Uncle Al, divided the coconuts into three piles. he found that there was one leftover, so he gave it to the trust monkey. he his his share, put the rest of the coco nuts back together, and went back to sleep.
Still later, Hobo woke up and did the same thing. the monkey was still watching...
In the morning, the three men divided up the coconuts and were surprised to find there was none left over!
To leave the island and the fun cruise, Uncle Al and his crew need to figure out how many coconuts the three men had colllected the first day. the monky isnt much of a help... Im not sure Bobo and Hobo are much help, either. HELP!!!Uncle Al is losing his energy!!!
Algebra 1 problem
i dont understand it help me!! and explain ure workk. :)
Answers & Comments
Verified answer
n = coconuts gathered
Al makes three piles of i coconuts, gives one to the monkey:
n = 3i+1
Al hides his share, so there are 2i coconuts left.
Bobo makes three piles of j coconuts, gives one to the monkey:
2i = 3j + 1
Bobo hides his share, so there are 2j coconuts left.
Hobo makes three piles of k coconuts, gives one to the monkey:
2j = 3k + 1
Hobo hides his share, so there are 2k coconuts left.
The 2k coconuts are divided evenly into 3 piles, so k is a multiple of 3.
If k=3, then 3k+1 = 10 = 2j
j = 5, so 3j+1 = 16 = 2i
i = 8, so 3i+1 = 25= n
If k=15 then 3k+1 = 46 = 2j
j = 23, 3j+1 = 70 = 2i
i = 35, 3i+1 = 106 = n
There are other answers.
This is the same problem as one that was posed three months ago with walnuts instead of coconuts. Here is my answer from then.
One answer is 25. Then if you throw away one and take a third you have 16. If you throw away one and take a third you leave 10. If you now throw away one and take a third you find 6 and this can be divided by 3.
But it also works with 106 as the starting number.
In fact, there are infinitely many answers. Any starting number of the form 81n + 25 will work, for n = 0, 1, 2, 3, ...
idk