On a particular saturday, 60% of the visitors to an art museum were students. iff 144 students visited the museum, how many total visitors did the art museum had will be fan and rewarded a medal if solved.

144 / 6 = 24
24 x 10 = 240

240

Let us assume totally there are x people. 
We are given that 144 students went to the museum
 This 144 is 60% of the total, x
 thus,
 60% of x =144
 therefore x = 144 x 100/60 = 240
 There are totally 240 visitors at the art museum on Saturday.