EXPLANATION
Let's see the facts:
Total amount = $135
(1) Angie = 20 + Marie
(2) Gwen = 26 - Marie
Let's call x to the amount of money that Angie get, the system of equations would be:
Angie= x
Marie = x - 20
Gwen = (x-20) - 26 = x - 46
Adding all the equations as follows:
x + x- 20 + x - 46 = 135 [Adding like terms]
3x -66 = 135 [Adding 66 to both sides]
3x = 135 + 66 [Adding numbers]
3x = 201 [Dividing both sides by 3]
x = 201/3 [Simplifying]
x= 67
Answers:
Angie = $67
Marie = 67 - 20 = $47
Gwen = 67 - 46 = $21
