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Math Help - Fram-fresh eggs

  1. #1
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    Fram-fresh eggs

    The question reads:
    As I was walking to St. Ives, I met a little old man. I gave him half the farm-fresh eggs I was carrying to the market plus half an egg. A bit further along the road, I met a tall young women and gave her half the eggs I had left plus half an egg. When I finally got to the market, I had ten eggs. At no time were any of the eggs broken. How many eggs had I at the beginning?

    Sincerely,
    kenzie

    p.s- I would really appreciate it if I could have an answer before tomorrow at 7:00 am. Because it due tomorrow. Thanks alot!!!
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  2. #2
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    Quote Originally Posted by kencheer32 View Post
    The question reads:
    As I was walking to St. Ives, I met a little old man. I gave him half the farm-fresh eggs I was carrying to the market plus half an egg. A bit further along the road, I met a tall young women and gave her half the eggs I had left plus half an egg. When I finally got to the market, I had ten eggs. At no time were any of the eggs broken. How many eggs had I at the beginning?

    Sincerely,
    kenzie

    p.s- I would really appreciate it if I could have an answer before tomorrow at 7:00 am. Because it due tomorrow. Thanks alot!!!
    First of all, how do you give someone half an egg without breaking it?

    I believe you had 43 eggs to start. You give the old man half of that (21.5) and a half of an egg (21). Then you give the woman half of that, leaving you with 10.5 eggs, and you give her a half an egg, leaving you with 10.

    As for mathy wise, you could put
    (10+\frac{1}{2})\cdot2 =21 then....
    (21+\frac{1}{2})\cdot2 = 43

    I'm not too sure about the mathy part. Truthfully, i did a guess and check sort of thing....

    But ya know, i'm not too sure if I read the question right...like i assumed "plus half an egg" to mean "and you also give them half an egg..."

    Well, i hope that helps! I don't know if that's right! And i bet I worded it confusingly!
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  3. #3
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    Oh yes! By the way, your title caught my eye! "Fram-fresh eggs!" Hehe! I was like "Oooo...Fram? What is that?" But i know you switch the "r" and the "a."

    Just thought I'd say that!
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  4. #4
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    Rule #1 - Name Stuff.

    Name what?

    What does it want?

    "How many eggs had I at the beginning?"

    Name that.

    N = Number of eggs in the beginning.

    Now, just translate stuff.

    "I gave him half the farm-fresh eggs I was carrying to the market plus half an egg"

    How many were given away? (N/2) + (1/2) -- This is a Whole Number.
    How many are left? N - [(N/2) + (1/2)] = M -- This is a Whole Number.

    I defined "M" just for convenience. The whole thing gets a little cumbersome to write, otherwise.

    "and gave her half the eggs I had left plus half an egg"

    How many were given away? (M/2) + (1/2) -- This is a Whole Number.
    How many are left? M - [(M/2) + (1/2)] = 10

    Find M and then find N. Make sure they are Whole Numbers.
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  5. #5
    A riddle wrapped in an enigma
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    If no eggs were broken, how do you give someone \frac{1}{2} an egg?
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  6. #6
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    Quote Originally Posted by kencheer32 View Post
    The question reads:
    As I was walking to St. Ives, I met a little old man. I gave him half the farm-fresh eggs I was carrying to the market plus half an egg. A bit further along the road, I met a tall young women and gave her half the eggs I had left plus half an egg. When I finally got to the market, I had ten eggs. At no time were any of the eggs broken. How many eggs had I at the beginning?

    Sincerely,
    kenzie

    p.s- I would really appreciate it if I could have an answer before tomorrow at 7:00 am. Because it due tomorrow. Thanks alot!!!
    By the way, for whatever I did, you can work it with the problem to check your answer...

    (43\div2)-\frac{1}{2}=21 then...
    (21\div2)-\frac{1}{2}=10

    The way i did it, i don't really have an equation, which I'm sure you would want....TKHunny has an equation! Very nice, TKHunny! Thanks for that!
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  7. #7
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    There never was 1/2 an egg in consideration.

    What was given away was (n/2 + 1/2) NOT (n/2)+(1/2).

    Don't ungroup your eggs before they hatch.
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