Question 830674: Sir please help me to resolve the below question.
A woman has $500,000 invested in two rental properties. One yields an annual return of 10% of her investment, and the other returns 12% for her investment. Her total annual return from two investments $53,000.Let x represents the amount of the 10% investment and y represent the amount of the 12% investment.
a) Write an equation that states that the sum of investment is 500,000 dollars.
b) What is the annual return on 10% investment?
c) What is the annual return on 12% investment?
d) Write an equation that states that the sum of the annual returns is 53,000 dollars.
e) Solve these two equations simultaneously to find how much is invested in each property.
Answer by mananth(16946)   (Show Source):
You can put this solution on YOUR website! a. x + 1 y= 500000
b.10.00%x
c.5.00% y
d.10.00% x + 5.00% y= 53000
Total investment
x + 1 y= 500000 -------------1
Interest on both investments
10.00% x + 5.00% y= 53000
Multiply by 100
10 x + 5 y= 5300000.00 --------2
Multiply (1) by -10
we get
-10 x -10 y= -5000000.00
Add this to (2)
0 x -5 y= 300000
divide by -5
y = -60000
Part I 10.00% $ 560000
Part II 5.00% $ -60000
CHECK
560000 --------- 10.00% ------- 56000.00
-60000 ------------- 5.00% ------- -3000.00
Total -------------------- 53000.00
m.ananth@hotmail.ca
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