Question: At a laboratory, white rats are fed 6 pellets of food per day, and black rats are fed 8 pellets of food per day. If the laboratory fed a total of 120 pellets of food to white and black rats on a certain day, were more black rats than white rats fed?

1. There are a total of 17 rats
2. There are 8 white rats

1. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
2. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
3. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
4. EACH statement ALONE is sufficient.
5. Statements (1) and (2) TOGETHER are NOT sufficient.

Correct Answer: D

Solution and Explanation:
There is only one approach to this problem.

Approach Solution 1:
(1) B + W = 17
8B + 6W = 120

Solving these two equations: 2B = 18;
So, one can get the number of black and white rats.
Hence sufficient

(2) There 8 white rats;
Therefore, 6 * 8 + 8B = 120
Hence sufficient
Therefore, EACH statement ALONE is sufficient.

“At a laboratory, white rats are fed 6 pellets of food per day, and black rats are fed 8 pellets of food per day. If the laboratory fed a total of 120 pellets of food to white and black rats on a certain day, were more black rats than white rats fed?”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book "GMAT Quantitative Review". GMAT Quant section consists of a total of 31 questions. GMAT Data Sufficiency questions consist of a problem statement followed by two factual statements. GMAT data sufficiency comprises 15 questions which are two-fifths of the total 31 GMAT quant questions.

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