How many eggs did the farmer have before the accident, same as many possibilities?

Question

The situation:

A farmer is taking his eggs to market in his cart, but he hits a pothole, which knocks over all the containers of eggs, though he himself is unhurt, every egg is broken. So he goes to his insurance agent, who asks him how many eggs he had. He says he does not know, but remembers some things from various ways he tried packing the eggs. He knows that when he put the eggs in groups of two, there was one egg left over. When he put the eggs in groups of three, there was also one egg left over.The sane thing happened when he put them in groups of four, groups of five and groups of six but when he puts them in groups of seven he ended up with complete groups of seven with no eggs left over

Your task:

determine the number of eggs that the farmer had in his cart at the time of the accident.Is there more than one possibility?

Write up:

problem statement

Process

Solution

Answer 1

Is this your homework?

Answer 2

You have to find a multiple of 2,3,4,5,6 and add 1 to that. That should equal a multiple of 7.

Therefore, it has to be a mulitple of 4,5,6 and you have to add 1 to that to get a multiple of 7. There could be infinite possibilities but some of these are improbable.

Answer 3

Sounds like it.