In a certain company, the ratio of the number of managers to the number of non-managers in any department must always be greater than 5 : 24. In the company, what is the maximum number of non-managers in a department that has 8 managers: Choose the most appropriate option: A) 36 B) 37 C) 38 D) 39 E) 40
M/NM &gt; 5x/24x   M = 8   8/NM &gt; 5x/24x   8/NM - 5x/24x &gt; 0   (192x - 5x * NM)/(24x * NM) &gt; 0   192x - 5x*NM &gt; 0   5x*NM &lt; 192x   NM &lt; 192x/5x   NM &lt; 38.4   Maximum number of non managers = 38   Answer: 38
<result>C</result>
In a certain company, the ratio of the number of managers to the number of non-managers in any department must always be greater than 5 : 24. In the company, what is the maximum number of non-managers in a department that has 8 managers: