SOLUTION: Mai, Abdul, and Bill served a total of 86 orders Monday at the school cafeteria. Bill served 2 times as many orders as Mai. Mai served 6 fewer orders than Abdul. How ma

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Mai, Abdul, and Bill served a total of 86 orders Monday at the school cafeteria. Bill served 2 times as many orders as Mai. Mai served 6 fewer orders than Abdul. How ma      Log On


   

Question 1055667: Mai, Abdul, and Bill served a total of
86
orders Monday at the school cafeteria. Bill served
2
times as many orders as Mai. Mai served
6
fewer orders than Abdul. How many orders did they each serve?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.M%2BA%2BB=86
2.B=2M
3.M=A-6
From 3,
A=M%2B6
Substitute this and 2 into 1,
M%2B%28M%2B6%29%2B2M=86
4M=80
M=20
So,
A=20%2B6=26
B=2%2820%29=40