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?