College

A dormitory has 73 rooms and 254 students. Some rooms are triple occupancy and some are quadruple occupancy. How many of each type of room are there, given that all rooms are fully occupied?

Final Answer:

a =  38
b =  35

Step-by-step explanation:

73=a+b 254=3a+4b  254=3 a+4 b  a+b=73 3a+4b=254  Pivot:Row1Row2  Row231 Row1Row2 0.33b=11.67  b=0.3333333311.66666667=35 a=32544b=32544 35=38  a=38 b=35



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