Question 932742: Pat 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?
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! x = amount invested at 3% RE
y = amount invested at 2.5% MM
z = amount invested at 1.5% CD
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x + y + z = 200000
0.03x + 0.025y + 0.015z = 4900
z = x + y - 80000
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put the system of linear equations into standard form
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x + y + z = 200000
0.03x + 0.025y + 0.015z = 4900
x + y - z = 80000
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copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution:
x = amount invested at 3% RE = 100,000
y = amount invested at 2.5% MM = 40,000
z = amount invested at 1.5% CD = 60,000
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