Let d be the price of a desk and c the price of a chair. We are to determine whether the company bought more than 40 chairs (i.e. whether it bought 41 or more chairs)

Using statement 1:

150d + 50c = 5,000

One possible solution to this equation is d=20, c=40. Another possible solution is d=18, c=46. In the first case, the company buys less than 41 chairs, in the second it buys more than 41 chairs. Insufficient.

Using statement 2:

In this case we do not know the total expenditure made. The number of chairs bought could have been more or less than 41. Insufficient.

Combining both statements:

If fewer than 20 desks were bought, and the total spent was $5,000, then for each possible solution the number of chairs will be >= 46. Therefore the number of chairs sold is greater than 41. Sufficient.

C it is.

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