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 dont prefer XYZ

for 42 ABC accommodations, we can choose 33 ABC preferring people and rest to ABC. Here 33 were given to people who dont prefer ABC.

So total people who were accommodated at hotel they dont prefer = 18+33 = 51

So answer is A.

bhandariavi wrote:

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?

A) 51

B) 52

C) 53

D) 54

E ) 55

I got 42 but the answer is ....