In a company with 48 employees, some part-time and some full-time, exactly (1/3) of the part-time employees and (1/4) of the full-time employees take the subway to work. What is the greatest possible number of employees who take the subway to work?  Choose the correct choice:
A) 12 B) 13 C) 14 D) 15 E) 16
Let part time emp=x   Let full time emp=y   then,   48=x+y.........(1)   (1/3)x+(1/4)y=No. of ppl taking the subway   4x+3y/12=No. of ppl taking the subway   using 1   x/12+3*48/12=No. of ppl taking the subway   so, the minimum value of x has to be 12.   Hence to maximize the no. put 36 for x   36/12+12/4=15   ANSWER:15
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In a company with 48 employees, some part-time and some full-time, exactly (1/3) of the part-time employees and (1/4) of the full-time employees take the subway to work. What is the greatest possible number of employees who take the subway to work?