Pat invested $4,000 at a percent simple annual interest and a differen

Official Explanation

We have a lot of missing information in the question prompt. The two amounts and two interest rates are four pieces of information, and we start with only one of them defined. The second amount is what we are looking for. Call that X. We turn to the data statements, evaluating separately first. Statement (1) indicates that the total amount of interest was $400. That means

4000a + Xp = 400

A bunch of variables are still missing. Even if the two interest rates were the same, we wouldn't have enough information. Insufficient. On to Statement (2). Statement (2) defines a for us. Without Statement (1), this tells us precious little; it sheds light on the first investment but no light on the second. Insufficient. And when we combine the statements, we get

4000(0.04) + Xp = 400

We still have one equation with two variables. So the statements together are insufficient.

The correct answer is (E).

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