Pow 3 Problem

Problem Statement:
This problem is about a farmer who is on her way to market and is taking eggs in a cart, but she hits a pothole and spills all of her eggs. All of her eggs are broken, so she goes to her insurance agent, who asks her how many eggs she had but the farmer does not remember. The only thing she remembers is the many ways she packed the eggs. When she grouped them in groups of two, three, four, five, and even six there was one egg left over. However when she grouped the eggs in groups of seven the eggs were in even groups without any eggs left over. Our job is to find out how many eggs the farmer had in her cart.

Proccess:
The first thing that happened was I tried to complete the problem by myself but I had gotten confused then I asked my classmates but there were some things I figured out by myself. The first thing I had found is that you need to find all the numbers that divide equally by seven because the farmer said when she grouped them in numbers of 2-6 there was always one egg left over. It would best if you found most numbers that equally divide to seven because it would be more accurate than any other way in it would give you a better chance in getting the best answer. I started with small numbers and they got bigger. The smallest possibility my classmates and I found was 301. We found a pattern that I still haven’t figured out but the numbers that work are; 301, 721, 1141, and 1561. If you have notices the number has to be an odd number considering if it is divided by 2 there would have to be a remainder of 1. Also to be sure we had the right answer we had to divide

Something learned in this problem was that these problems are more complex than most middle school or elementary school problems. There was more of a thinking process that had my group members and I really thinking to get the right