Question

$135 used to be divided among three restaurant servers Angie made $20 more than marie. gwen who went home sick made $26 less than Marie how much money should each server get?

Answer 1

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