Question

$80 is divided between Jason and Bryan such that one quarter of Ethan's share is equal to one sixth of Michael's share. How much does each of them receive ?

Answer 1

We have two things here
Michaels share is x
Ethans share is y

6x=4y
And x+y=80

The equation on the top when divided by 2 equals 3x=2y
x=2y/3

So we have:
x+y=80
2y/3 + y =80 /*3
2y +3y= 240
5 y = 240
y= 48

x+y=80
x+48= 80
x= 80-48
x=32