gmat pre question

[pradeepkaushal9518]

Of the 500 business people surveyed, 78 percent said that they use their laptop computers at home, 65 percent said that they use them in hotels, and 52 percent said that they use them both at home and in hotels. How many of the business people surveyed said that they do not use their laptop computers either at home or in hotels?

sorry no options but have answer

[clock60]

i got 45 ( neither hotel nor home)
the most efficient way to solve with double matrix
or
500=390(at home)+325(at hotels)-260(both)+Neither