SOLUTION: Suppose Gus invested a total of 8000$ part of it at 4% the remainder at 6% his yearly income from the two invest,nets was 380$ how much did he invest at each rate

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: Suppose Gus invested a total of 8000$ part of it at 4% the remainder at 6% his yearly income from the two invest,nets was 380$ how much did he invest at each rate      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 700253: Suppose Gus invested a total of 8000$ part of it at 4% the remainder at 6% his yearly income from the two invest,nets was 380$ how much did he invest at each rate
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Part I 4.00% per annum ------------- Amount invested =x
Part II 6.00% per annum ------------ Amount invested = y
8000
Interest----- 380

Part I 4.00% per annum ---x
Part II 6.00% per annum ---y
Total investment
x + 1 y= 8000 -------------1
Interest on both investments
4.00% x + 6.00% y= 380
Multiply by 100
4 x + 6 y= 38000.00 --------2
Multiply (1) by -4
we get
-4 x -4 y= -32000.00
Add this to (2)
0 x 2 y= 6000
divide by 2
y = 3000
Part I 4.00% $ 5000
Part II 6.00% $ 3000

CHECK
5000 --------- 4.00% ------- 200.00
3000 ------------- 6.00% ------- 180.00
Total -------------------- 380.00

m.ananth@hotmail.ca