A farmer is taking her eggs to the market when her cart tips over shattering all of the eggs. She goes to an insurance agent unsure of how many there actually were. She needs to know this to tell the agent though. However, she does know that when she put the eggs in groups of two, there would be one left over. This also seemed to be true for groups of three, four, five, and six. But when she put them in groups of seven, there were an equal number of eggs in each group with none left over.

At first glance, some people might assume the answer is 49 because from simply looking at the problem you would say “Oh, 7 goes evenly into 49, with nothing left over” and from quick thinking you would assume the other numbers would too. But when you try and do the math, you realize that all of the numbers need to go into 48 with 1 left over, and most do, but 5 does not go evenly go into 48 with one left over. So the answer could not possibly be 49.

I began this problem not really sure how to start. I knew that the answer would have to be a multiple of seven so I went from there. Starting from 49 (because I thought it wouldn’t be 49 or lower), I tried each multiple of seven until I got to 140. This is when I started to rethink my strategy, I knew there had to be a more logical way of looking at this. I talked to my friend Michelle who made it clear there was a simpler way of looking at this. She had found the answer by laying out what she knew, and had figured it out from there. So I decided to do the same. I listed everything that I knew about the answer:

The answer had to be a multiple of 7, but 2-6 also had to go into the number before the multiple of 7, so that there would be one left over. So the multiple of seven could not be an even number because it had to have something left over. So I now know that the number is an odd multiple of seven, and I just looked at all of the multiples (not paying attention to the even multiples of 7). I...

... 09-17-10
Period 5
The BrokenEggsPOW #1
1. Problem Statement:
A farmer has some eggs in a cart, and is going to market them. She accidently breaks every egg. She doesn’t remember how many she had, but she remembers some things. She knows that when she put them in groups of 2, 3, 4, 5 and 6, there was one egg left over. When she put them in groups of 13 no eggs...

...POW Problem Statement
A. A farmer is going to sell her eggs at the market when along the way she hits a pot hole causing all of her eggs to spill and break. She meets an insurance agent to talk about the incident, and during the conversation he asks, how many eggs did you have? The farmer did not know any exact number, but proceeded to explain to the insurance agent that when she was packing the eggs, she remembered that...

...Name: Modella Studente POW # 1 BrokenEggs
Problem Statement: How many eggs were broken? (And is there more than one answer?)
Process: Given that she lined them up by twos and one was left over, by threes and one was left over, by fours and one was left over, by fives and one was left over, by sixes and one was left over and by sevens and it came out evenly, we figure the number had to be a multiple of seven and...

...IMP POW 1: The BrokenEggs
Problem Statement:
A farmer’s cart hits a pothole, causing all her eggs to fall out and break. Luckily, she is unhurt. To cover the cost of the eggs, her insurance agent needs to know how many she had. She can’t remember the number, but can remember some problems she had when packing the eggs. When she put the eggs in groups of two to six eggs, there was...

...Pow 1
10/6/10
Pow
A farmer is taking her eggs to the market in a cart, but she hits a Pothole, which knocks over all the containers of eggs. When she put the eggs in groups of two, three, four, five, and six there was one egg left over, but when she put them in groups of seven they ended up in complete groups with no eggs left over. Now she needs to know how many...

...The painting Brokeneggs was created by Jean-Baptise Greuze in 1760 and suggests the beginning of the different direction in the art of painting. His work, free of fantasy, introduces new realism – the realism of daily life. French painting during 18th century was dominated by the Rococo style that was aristocratic in nature, sensual and elegant. From stylistic point of view, it had soft colors in its palette, free brushstrokes and complex surfaces. Created for...

...Jean-Baptiste Greuze “BrokenEggs”
By Nina Rettenwander 1756, oil on canvas
The young girl’s body is slumped upon an elevated surface, while her head is tilted to the left at a forty-degree angle. She is draped in a sheer, white blouse and apron, covering a yellow corset and light blue dress. A periwinkle scarf on her head keeps her blonde hair pulled away from her face, revealing her luminescent skin - lit up magnificently by the thin stream of...

...EGGSEggs are laid by females of many different species, including birds, reptiles, amphibians, and fish, and have been eaten by mankind for thousands of years.[1] Bird and reptile eggs consist of a protective eggshell, albumen (egg white), and vitellus (egg yolk), contained within various thin membranes. Popular choices for egg consumption are chicken, duck, quail, roe, and caviar, but the...

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