Equivalent concept

I have a problem in understanding the equivalent concept used in stochiometry.This is what i know about it....

Equivalent concept is similar to mole concept that means in any chemical reaction the reactants react in same equivalents to give same equivalents of products.

BaCl2+AL2[SO4]3--->BaSo4 + AlCl3
a b 0 0 [Before reaction]
0 b-a a a [after rection]

Where a and b are the equivalents.Now if we take the balance reaction:

3BaCl2+Al2[So4]3--->3BaSo4 + 2AlCl3
p q 0 0 [Before reaction]
p-3q 0 3q 2q [After reaction]

Where p and q are moles.

Now if we solve the problem with any of the above two methods the RESULT IS THE SAME.CAN YOU EXPLAIN ME WHY?

WHY EQUIVALENT CONCEPT AND MOLE CONCEPT GIVE SAME RESULTS?

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I'm bewildered by which teacher or textbook taught you such obtuse concepts about such a simple thing!

The answer is that molecules react when a pair of them bump into each other.
Ultimately, you are beginning with one lot of molecules,
and rearranging their atoms,
to make a different lot of molecules.

If you look carefully at what atoms you have to begin with in the reagent molecules,
you can see how many you'd need to make the end products.

You can call it whatever fancy "concepts" you want,
it's really just simple COUNTING!
Like you were counting marbles or apples!

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