Puzzle #213: Found Money

Kathy, Larry, Mona, Neil, and Olivia each recently found a different amount of money. The amounts were $5, $10, $15, $20, and $40 though not necessarily in that order.

Mona found an exact multiple of the amount that Larry found.
Olivia found an exact multiple of the amount that Kathy found.
Larry found an exact multiple of the amount that Neil found.

How much did each find?

Submit your answer to Gene Wirchenko <genew@telus.net>. Your answer should be in the form of a proof. That means to show how your answer must be correct. The deadline is Wednesday, July 5, 2017 at noon Pacific Time. I will post the answer shortly after.