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 Q of employees who take the subway to work?	Answers:  A) 12  B) 13  C) 14  D) 15  E) 16
P/3 + F/4 = P/3 + (48-P)/4 = 12 + P/2   P/3 + F/3 = (P+F)/3 = 48/3= 
<gadget id="calculator">48/3</gadget>
<output>16</output>
16   P/4 + F/4= 12   P/3 + F/3 &gt; P/3 + F/4 &gt; P/4 + F/4   --&gt; 16&gt; 12 + P/12 &gt; 12   GREATEST Possible Q: 12 + p/12 = 15 --&gt; p = 36 ( integer --&gt; good)   15 or 15 is the answer
<result>D</result>
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 Q of employees who take the subway to work?