From the following augmented matrix, first write the system of equations that represents the augmented matrix and then create a real-world word problem that would represent these equations and their unknowns. Be creative. Do not use word problems that are in the assignments or course material.
[1 1 1] [x] [100]
[5 -3 0] [y]= [10]
[0 3 4] [z] [290]