Congruence statements, with a statement of percentage

[1MileCrash]

Suppose I have three statements of congruence:

x = a mod n, y = b mod m, z = c mod p;

Furthermore, x is a given percent of x + y + z, as is y and z.

Does this uniquely determine x, y, z? Or does it at least restrict x to a predictable subset of the congruence class of a, and so on?

Thank you.

 

[micromass]

The main result: http://en.wikipedia.org/wiki/Chinese_remainder_theorem

 

[1MileCrash]

The main result: http://en.wikipedia.org/wiki/Chinese_remainder_theorem

I'm not sure I see how to apply the Chinese remainder theorem here. Can you elaborate?

Thanks again