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 $