## 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 $$7\%$$

by Gmat_mission » Sun Oct 17, 2021 12:04 am

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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) $$1 : 8$$