SOLUTION: I am trying to solve a system's problem. Walt has three investments totaling $110,000. These investments earn interest at 8%, 10% and 12% respectively. Walt's total income fro

Question 385957: I am trying to solve a system's problem.
Walt has three investments totaling $110,000. These investments earn interest at 8%, 10% and 12% respectively. Walt's total income from these investments is $11,600. The income from the 12% investment exceeds the total income from the other two investments by $400. Find how much Walt has invested at 8%.
Thanks so much for the help!!
Denise
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Walt has three investments totaling $110,000. These investments earn interest at 8%, 10% and 12% respectively. Walt's total income from these investments is $11,600. The income from the 12% investment exceeds the total income from the other two investments by $400. Find how much Walt has invested at 8%.
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Equations:
x + y + z = 110,000
8x+10y+12z= 1160000
z = (x+y)+400
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Rearrange:
x + y + z = 110,000
8x+10y+12z= 1160000
x + y - z = -400
--------------------------
Use any method you know to get:
x = 25200
y = 29600
z = 55200
==============
Cheers,
Stan H.
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