Summers wins 200,000 in the Louisiana state lottery. He invests part of the money in real estate wi…

Summers wins 200,000 in the Louisiana state lottery. He invests part of the money in real estate with an annual return of 3 % and another part in a money market account at 2.5 % interest. He invests the rest, which amounts to 80,000 less than the sum of the other two parts, in certificates of deposit that pay 1.5 % . If the total annual interest on the money is 4900, how much was invested at each rate?

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