A factory has three types of machines, each of which works at its own constant rate. If 7 Machine As and 11 Machine Bs can produce 525 widgets per hour, and if 8 Machine As and 22 Machine Cs can produce 600 widgets per hour, how many widgets could one machine A, one Machine B, and one Machine C produce in one 8-hour day?  Choose the correct choice from the following answers:
A) 400
B) 475
C) 550
D) 625
E) 600
Let Machine A produce A widgets per hour. B produce B widgets per hour and C produce C widgets per hour.   7A+11B=525 ---(1)   8A+22C=600 ---(2)   Dividing (2) by 2   4A+11C=300.....(3)   Adding (1)(3)   11A+11B+11C = 825   A+B+C=75 per hour   So for eight hrs = 75*8= 
<gadget id="calculator">75*8</gadget>
<output>600</output>
600= Answer = 600
<result>E</result>
A factory has three types of machines, each of which works at its own constant rate. If 7 Machine As and 11 Machine Bs can produce 525 widgets per hour, and if 8 Machine As and 22 Machine Cs can produce 600 widgets per hour, how many widgets could one machine A, one Machine B, and one Machine C produce in one 8-hour day?