A mathematical model for this simple problem?

1. Mar 28, 2009

Hamid1

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. Mar 28, 2009

CompuChip

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?

3. Mar 28, 2009

Hamid1

I guessed this:
F=7G+1
F=9G

But i think it's wrong;

4. Mar 28, 2009

CompuChip

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?

5. Mar 29, 2009

Hamid1

Thank you CompuChip for the answer.
Yes, I can solve it.