🚀 go-pugleaf

The following problem first appeared in an Indian book written around 850
AD.  Three merchants found a purse along the way.  One of them said, "If I
secure this purse, I shall become twice as rich as both of you with your
money on hand."  Then the second said, "I shall become thrice as rich as
both of you."  The third man said, "I shall become five times as rich as
both of you."  How much did each merchant have, and how much was in the
purse?

I know I should be solving this problem using Diophantine
equations...except, I don't necesarily know how to set up the problem. 
May someone please give me some insight (not necesarily solve it...just
lead me in the right direction)?  I'll greatly appreciate any of your
help.  Thanks.

-Jacob

-- 
"Of all the pleasurable moments I've ever had, I'd have to say that the best one...
                 ...is the next one."
                                      Celestial Navigations