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A mathematical model for this simple problem?

  1. Mar 28, 2009 #1
    Hi all.
    I want a mathematical model for this problem:
    "There is a few fishes and fish-globes.If we put 7 Fishes in each fish-globe then a single fish remains.
    and If we put 9 Fishes in each fish-globe then a single-fish globe reamins empty.What's number of fishes and fish-globes?"

    Thank you.(I hope my English sentences be correct!)
     
  2. jcsd
  3. Mar 28, 2009 #2

    CompuChip

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    Let G be the number of fish-globes and F the number of fish.
    Can you write down two formulas that express the same as those sentences?
     
  4. Mar 28, 2009 #3
    I guessed this:
    F=7G+1
    F=9G

    But i think it's wrong;
     
  5. Mar 28, 2009 #4

    CompuChip

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    The first one is correct.

    Now that I read your second statement again, it is rather confusing... if we put 9 fish in each, there is one with none. I suppose it means: the number of fish is also equal to nine times the number of globes, except one. So instead of F = 9G, I would say the sentence means F = 9(G - 1).
    But since you say "I hope my English sentences be correct!" I presume you have translated the sentences, and perhaps it is clearer in the original language?

    In any case, suppose that you have
    F = 7G + 1
    F = 9(G - 1)
    do you know how to solve these two equations for F and G?
     
  6. Mar 29, 2009 #5
    Thank you CompuChip for the answer.
    Yes, I can solve it.
     
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