Hello, liukawa!

Algebra method cannot be used. .What?

The school only allows me to use other methods other than algebra.

I'd like to see the school's solution!

John , Peter and Alex bought a watch.

Alex paid 1/4 of what Peter and John paid.

John Paid 1/5 of what Peter and Alex paid.

Peter paid $56 more than John.

How much is the watch?

Without algebra, trial-and-error is the only way.

Why would ANYONE want us to do that?

After several minutes (hours? days?) of scribbling,

. . we might find: .

This satisfies the first two restrictions:

. .

. .

It does not satisfy the third restriction: is 56 more than

In our solution, is only 14 more than

Maybe if we multiplied everything by 4, we might get the answer.

So, we try: .

I can't imagine ANYONE assigning a problem this complicated

. . and expecting one to solve it by arithmetic? .guessing?