Try to solve this question:
There are 4 friends. They went to a banana farm and got some bananas. Since the farm is far from their home, it becomes dark by the time they reach their houses. They thought that they would share the bananas the next day and go to their houses.
1: After some time, one of them gets up and go to the bananas and thought to take his part now itself. He divides the bananas into 4 parts, 1 will be remaining. He gives the remaining banana to a monkey and takes his part.
2: The second friend gets up and thinks to takes his part now itself. He divides the remaining bananas into 4 parts, 1 banana remains again. He gives it to the monkey and takes his part.
3: The third person gets up and he wants to take his part of bananas now itself and he divides the remaining bananas into 4 parts, 1 banana remains. He gives it to the monkey and takes his part.
4: Then, the fourth person gets up and divides the remaining bananas into 4 parts to take his share. 1 banana remains. He gives it to the monkey and takes his part.
The next morning, everybody gets up but they don't tell each other about what they did last night. So, they all silently divide the remaining bananas into 4 parts and take each part. No banana remains, the monkey doesn't get a banana this time.
So, how many bananas did they get from the farm?
Answer this question correctly and I'll mark you as Brainliest and this question is of 50 points
Answers
Given : 4 friends got some bananas. Each friend gave one banana to monkey and take one part of available bananas . in last no surplus banana
To find : How many bananas they got
Solution:
Bananas = B
after 1st person
one part =(B-1)/4
remaining = B - (B-1)/4 - 1 ( 1 monkey)
= ( 4B - B + 1 -4)/4
= (3B -3)/4
= 3(B - 1)/4
after 2nd person
= (3/16)(3B - 7)
after 3rd person
= (3/64) (9B - 37)
after 4th person
= (3/256)(27B - 175)
(3/256)(27LB- 175) = 4n ( equally distributed nothing left)
=> (3/256)(27B - 175) = 4
=> 81B - 525 = 1024n
=> 81B = 1024n + 525
=> we need to find n such that (1024n + 525)/81 is an integer
(81 * 12n + 52n + 81*6 + 39)/81
= (52n + 39) / 81 is integer
=> 13(4n+3)/81
=> 4n + 3 = 81k
4n = 3(27k -1)
k = 3
n = 60
=> 81B = 1024 * 60 + 525
=> B = 765
Bananas monkey one part remaining
765 1 191 573
573 1 143 429
429 1 107 321
321 1 80 240
240 0 = 4×60 0
765 Bananas were there
learn more
Brainly.in - brainly.in/question/16616318
A farmer has 5 cows numbered 1 to 5 no 1 cow gives 1kg milk ... no
brainly.in/question/16418161
https://brainly.in/question/16422634
The total number of bananas they brought from Narendra's garden are 765 in number.
Explanation
Let the number of bananas were brought
by them from Narendra's garden be 'X'
From 'X', total number of bananas the first one took = (X-1)/4
We need to eliminate the banana he threw away.
Bananas remained are = X - ((X-1)/4) - 1
= ( 4X - X +1- 4) /
= 3(x - 1)/4
4
Similarly, the no.of second one had took with him = (3/16)(3X - 7)
the third one = (3/64) (9X - 37)
the fourth one = (3/256)(27X - 175)
Then, on talking 4 equal parts from the bananas left on the next morning, the share happened exactly. As in :
(3/256)(27X-175) = 4n
81X525= 1024n
81X = 1024n + 525
10.5KB/sill 65
(1)
Here, n is the integer which we need to find.
(81 * 12n + 13 * 4n +81 * 6 + 13 * 3)/81
As per this statement, (4n+3)/81 is an integer. On solving,
4n+ 3 = 81c; where c is a constant.
4n = 3 (27c-1)
Let us check, on substituting which integer in c, the total value becomes a multiple of 4.
c = 0; 3(27(0)-1)=-3 (Incorrect)
c=1; 3(27(1)-1)=3(26) (Incorrect)
c = 2; 3(27(2)-1)= 3(53) (Incorrect)
c = 3; 3(27(3)-1)=3(80) (Suits!) As 80 is a mutiple of 4.
So, at c-3, we get
4n = 3(80)
n = 3(20)
n = 60
As n-60, substitute this value in eqn (1), As in:
81X1024 * 60 + 525
81X61440+ 525
X = 61965 / 81
X = 765
Therefore, the total numbe of bananas they brought from Narendra's garden are 765.
Hope it will help you..