<PRE><B>Question 85537</B>
Ingredients/Cake1/Cake 2/Cake 3 
Flour(cups)/2 /4 / 2 
Sugar(cups)/2 /1/2 
Eggs/2/1/3 
To fill its orders for these cakes, the bakery used 72 cups of flour, 48 cups of sugar, and 50 eggs. How many cakes of each type were made? 
Answ.18 cake I, 8 cake II, 2 cake III
-----------------------------
Number of Cakes: x=Cake1,y=CakeII,z=CakeIII
Flour Equation: 2x+4y+2z=72
Sugar EQUATIOn: 2x+ y+2z=48
Eggs  EQUATIOn: 2x+ y+3z=50
--------------------
Solve for x,y,z
I used the matrix equation A^1B to get x=18,y=8,z=2
==========
Cheers,
Stan H.</PRE>