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 261 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 one.
A) 408 B) 475 C) 550 D) 625 E) 700
Let Machine A produce A widgets per hour. B produce B widgets per hour and C produce C widgets per hour.   7408+11B=261 ---(1)   8408+22C=600 ---(2)   Dividing (2) by 2   4408+11C=300.....(3)   408dding (1)(3)   11408+11B+11C = 561   408+B+C=51 per hour   So for eight hrs = 51*8= 
<gadget id="calculator">51*8</gadget>
<output>408</output>
408= 408nswer = 408
<result>A</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 261 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?