Savings and Earnings

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If Chris saved $400 of his earnings last month, how much did Chris earn last month?

(1) Chris spent of his earnings last month on rent and saved of the remainder.

(2) Last month, Chris paid three times as much in loan payments as he saved.

Review: Savings and Earnings




Explanation

Let's dive right into the statements, evaluating them separately first. If Chris' earnings amounted to x dollars, then statement (1) says that he spent . After doing so, he'll have dollars. He saved of that, so the amount he saved was . And we are told that the amount that he saved was $400, so we know



That's an equation with one variable, so it's solvable for x. So Statement (1) is sufficient. Turning to Statement (2): it is not so generous with information. It doesn't even mention earnings--what we are looking for. It introduces an irrelevant comparison between his savings and loan payments, which we know nothing about. If we wrote an equation, it would have a bunch of variables, not one. So this statement is insufficient.

The correct answer is (A).


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