Question

A sum of money is divided among peter paul and jane in ratio 13:12:7 calculate how much paul gets if amount peter gets more than jane is 78$

Answer 1

First we define variables:
 x: Money Peter receives
 y: Money Paul receives
 z: Money Jane receives
 We write the system of equations:
 x / y = 13/12
 x / z = 13/7
 x = z + 78
 Solving the system we have:
 x = $ 169
 y = 156 $
 z = 91 $
 Answer:
 Paul gets 156 $