# Thread: [Help] A Homework Problem

1. ## [Help] A Homework Problem

Can someone help me with my homework? I don't understand it >.<.

So a farmer is taking her eggs to the market in her cart, but she hits a pothole. Which knocks over all the containers of eggs. Though she herself is unhurt, every egg is broken. So she goes to her insurance agent, who asks her how many eggs she had. She says she doesn't know, but she remembers some things from various ways she tried packing the eggs. She knows that when she put the eggs in groups of two, there was one egg left over. When she put them in groups of three, there was one egg left over. The same thing happened when she put then in groups of four, groups of five or groups of six. But when she put them in group of seven, she ended up with complete groups of seven with no eggs left over.

What can the farmer figure out from this information about how many eggs she had?

Is there more than one possibility?

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2. Well you can infer its a multiple of 7.

7 • 7 = 49
4 • 12 = 48 (One left over)
6 • 8 = 48 (One left over)

This may or may not be the answer but do you see how you're supposed to d this?

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3. Take a derivative.

dr/dt = rate the farmer was traveling = > 5 feet/second

number of eggs = pie*r^2*rate, derivative = (deggs/dt = 2*pie*dr/dt*5).

You can infer that the radius is irrelevant. Answer is 7. Calculus lyfe.

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4. Originally Posted by ToxicJew
Take a derivative.

dr/dt = rate the farmer was traveling = > 5 feet/second

number of eggs = pie*r^2*rate, derivative = (deggs/dt = 2*pie*dr/dt*5).

You can infer that the radius is irrelevant. Answer is 7. Calculus lyfe.
If there were 7 eggs and she put them into groups of 5 that would leave 2 eggs left over

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5. 2*3*4*5*6 = 720
So you know that 720 is divisible by all the numbers. Add 1 egg to that number. By common sense you should know that 721 is divisible by 7 and none of the others. So you answer is 721 eggs.
Plus you should know that the number of eggs must end in a 1 or 6 because its divisible by 5 with 1 remainder.

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6. Damn thanks guys for the help! But I am still confused! Which I will add to my evaluation of this problem when I turn it in! :p thanks for the help!

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7. Originally Posted by RED 58
If there were 7 eggs and she put them into groups of 5 that would leave 2 eggs left over
2 x 24 = 48(One left over)
3 x 16 = 48(One left over)

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8. try, .............................http://math.tutorvista.com.........but I am pretty sure to get any actual number for the total of eggs you need more variables, without more data the number of cartons. the number of rows of 7, or even if they were packed in 7. Been a while since math class for me....but this site I found just a second ago has a online tutor. (it kept dinging at me)
I did read it it said tutor was free.....
uh, yeah this thread yesterday.....try the site next time you have a problem..........

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