Explanation

In this question, if the point values of a red and a blue chip are r and b, respectively, then the question is asking us for . The question might allow for us to solve for both values individually. Since so far we have two variables and zero equations, we'll need two more distinct equations for that. Or we might be able to solve directly for the expression through fortuitous algebra. Let's turn to the data statements, separately first.

Statement (1) tells us that . We have only one equation for these two variables, so we cannot solve exhaustively. However, we have a case of fortuitous algebra here, because multiplied by 3 gives us the left portion of this equation. Therefore, . We have a definitive value for , so Statement (1) is sufficient.

Statement (2) also gives us an equation: it tells us that . Recall that if you're ever unsure about the way you've written an algebraic expression, you can double-check by testing a case with some numbers. For example, if r=24 and b=36, both the equation and the sentence appear to work. In this case, it doesn't matter. We have only one equation for these two variables, so we cannot solve exhaustively. And we cannot massage this expression to obtain without having variables on the other side of the equation. Therefore, we are unable to solve for the variables independently or directly. Insufficient.

The correct answer is (A).