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 800 sculptures are not on display, how many pieces of art does the gallery have?
Choices:
A) 360
B) 1800
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.   800 sculptures are not on display, so according to (iii) 2/3*{not on display} = 800 --&gt; {not on display} = 1200.   According to (i) 2/3*{total} = 1200 --&gt; {total} = 1800.   Answer: 1800.
<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 800 sculptures are not on display, how many pieces of art does the gallery have?