Write a System of Equations and Use the Inverse of the Coefficient

Write a system of equations and use the inverse of the coefficient matrix to solve the system.
-A bakery sells three types of cakes, each requiring the amount of ingredients shown.
To fill its orders for these cakes, the bakery used 72 cups of flour, 48 cups of sugar, and 54 eggs. How many cakes of each type were made?

A) 38 cake I
8 cake II
12 cake III
B) 16 cake I
8 cake II
6 cake III
C) 14 cake I
8 cake II
6 cake III
D) 6 cake I
8 cake II
14 cake III