An art gallery has only paintings and sculptures. Currently, 1/3 of the pieces of art are displayed, and 1/6 of the pieces on display are sculptures. If 1/3 of the pieces not on display are paintings, and 400 sculptures are not on display, how many pieces of art does the gallery have?  Pick.
A) 360  B) 900  C) 540  D) 640  E) 720
Too many words and redundant info there.   (i) 1/3 of the pieces of art are displayed, hence2/3 of the pieces of art are NOT displayed.   (ii) 1/6 of the pieces on display are sculptures, hence 5/6 of the pieces on display are paintings.   (iii) 1/3 of the pieces NOT on display are paintings, hence2/3 of the pieces NOT on display are sculptures.   400 sculptures are not on display, so according to (iii) 2/3*{not on display} = 400 --&gt; {not on display} = 600.   According to (i) 2/3*{total} = 600 --&gt; {total} = 900.   Answer: 900.
<result>B</result>
An art gallery has only paintings and sculptures. Currently, 1/3 of the pieces of art are displayed, and 1/6 of the pieces on display are sculptures. If 1/3 of the pieces not on display are paintings, and 400 sculptures are not on display, how many pieces of art does the gallery have?