please solution asap, i will rate you high later, use diophantine equations

The Monkey and The Coconuts This problem was published in the newspaper Saturday Evening Post on 9th October 1926.A ship sunk and 5 sailors and a monkey were safe and landed on an island, Exunius Island. They spent the first day collecting coconuts, which were placed in a pile, and went to sleep. In the middle of the night, a sailor woke up and decided the coconuts into 5 equal piles. There was a remainder of 1 coconut. He did his share, that is, one of the five piles of coconuts, and gave the remainder to the monkey. Then, he puts the four piles of coconuts together as one pile again and went back to sleep. Soon after, a second sailor woke up and did exactly what the first sailor has done. When he divided the coconuts into 5 equal piles, there was a remainder of 1 coconut for the monkey. The second sailor did exactly what the first sailor has done and went back to sleep again. The third, fourth, and fifth sailors all repeated the same procedure one after the other and the same outcome occurred. On the next day, all the five sailors divided the remaining coconuts into 5 equal piles and there was a remainder of 1 coconut for the monkey. How many coconuts were there in the original pile? You probably can form 6 linear equations in 7 variables. Examples: n=5a+114b=5c+134d=5e+154a=5b+124c=5d+144e=5f+16 Can you solve the simultaneous equations? In the process of solving the simultaneous equation, you may come across a few interesting things that you should include in your folio: - Diophantine equation - How - 4 is a possible solution for this system of linear equations? - There is more than one possible solution and what is the minimum number of coconuts? Verify the possible solution are in form 4+56 and the minimum number of coconuts is 15