SOLUTION: Fran receives $153 per year in simple interest from investing $1900. Part is invested at 7%, 8%, and 9%. There is a $100 more invested at 9% than 8%. find the amount invested at ea

Question 933009: Fran receives $153 per year in simple interest from investing $1900. Part is invested at 7%, 8%, and 9%. There is a $100 more invested at 9% than 8%. find the amount invested at each rate
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = amount invested at 7%
y = amount invested at 8%
z = amount invested at 9%
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x + y + z = 1900
0.07x + 0.08y + 0.09z = 153
z = y + 100
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put the system of linear equations into standard form
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x + y + z = 1900
0.07x + 0.08y + 0.09z = 153
y - z = -100
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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 7% = 600
y = amount invested at 8% = 600
z = amount invested at 9% = 700
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