Hi All,

This question can be solved either algebraically or by TESTing THE ANSWERS. We're asked for the TOTAL PIECES OF ART the gallery has….we know that there are only 2 types: paintings and sculptures….

First, we're told that 1/3 of the pieces are on display, so the total MUST be a multiple of 3. Let's TEST Answer B first (Answer D is NOT a multiple of 3, so it CANNOT be the answer).

If….

Total pieces of art = 450

Pieces on Display = (1/3)(450) = 150

1/6 of the pieces on display are sculptures

Pieces on Display = 150

Sculptures on Display = (1/6)(150) = 25

Paintings on Display = 125

Pieces NOT on Display = 300

Paintings = (1/3)(300) = 100

Sculptures = 200 --> This matches the last piece of information PERFECTLY.

Thus, the total number of pieces MUST be 450.

Final Answer:

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