On a business trip, 30 percent of 60 sales representatives will be given accommodations at Hotel XYZ and the remaining 70 percent will be given accommodations at Hotel ABC. However, 55 percent of the sales representatives prefer to stay at Hotel XYZ and 45 percent prefer to stay at Hotel ABC. What is the highest possible number of sales representatives NOT given accommodations at the hotel they prefer? Select.
A) 51 B) 52 C) 53 D) 54 E) 55
30% of 60 will be accommodated at XYZ = 18   70% of 60 will be accommodated at ABC = 42   55% of 60 prefer XYZ = 33   45% of 60 prefer ABC = 27   we were asked to find number of maximum possible people who were accommodated at hotels they dont prefer,   So for 18 XYZ accommodations , we can choose 18 ABC preferring people (so xyz is filled up) Here 18 were given to people who don't prefer XYZ   for 42 ABC accommodations, we can choose 33 ABC preferring people and rest to ABC. Here 33 were given to people who don't prefer ABC.   So total people who were accommodated at hotel they dont prefer = 18+33= 
<gadget id="calculator">18+33</gadget>
<output>51</output>
51   So answer is 51.
<result>A</result>
On a business trip, 30 percent of 60 sales representatives will be given accommodations at Hotel XYZ and the remaining 70 percent will be given accommodations at Hotel ABC. However, 55 percent of the sales representatives prefer to stay at Hotel XYZ and 45 percent prefer to stay at Hotel ABC. What is the highest possible number of sales representatives NOT given accommodations at the hotel they prefer?