At the beginning of \(2011,\) Albert invests \(\$15,000\) at \(10\%\) simple annual interest, \(\$6,000\) at \(7\%\)

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At the beginning of \(2011,\) Albert invests \(\$15,000\) at \(10\%\) simple annual interest, \(\$6,000\) at \(7\%\) simple annual interest, and \(\$x\) at \(8\%\) simple annual interest. If by the end of \(2011,\) Albert receives interest totaling \(9\%\) of the sum of his three investments, then the ratio of \(\$x\) to the sum of his two other investments is

(A) \(1 : 3\)
(B) \(1 : 4\)
(C) \(1 : 6\)
(D) \(1 : 7\)
(E) \(1 : 8\)

Answer: D

Source: Manhattan GMAT