SOLUTION: A women has $34000 to invest. She invests some at 17% and the balance at 20%. Her total annual interest income is $6425. Fine the amount invested at each rate.

Question 1028497: A women has $34000 to invest. She invests some at 17% and the balance at 20%. Her total annual interest income is $6425. Fine the amount invested at each rate.

Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Part I 17.00% per annum ------------- Amount invested =x
Part II 20.00% per annum ------------ Amount invested = y =
34000
Interest----- 6425

Part I 17.00% per annum ---x
Part II 20.00% per annum ---y
Total investment
x + 1 y= 34000 -------------1
Interest on both investments
17.00% x + 20.00% y= 6425
Multiply by 100
17 x + 20 y= 642500.00 --------2
Multiply (1) by -17
we get
-17 x -17 y= -578000.00
Add this to (2)
0 x 3 y= 64500
divide by 3
y = 21500
Part I 17.00% $ 12500
Part II 20.00% $ 21500

CHECK
12500 --------- 17.00% ------- 2125.00
21500 ------------- 20.00% ------- 4300.00
Total -------------------- 6425.00

m.ananth@hotmail.ca

RELATED QUESTIONS
Sally has $70,000 to invest. She invests some money at 7% interest and the rest at 11%.... (answered by reviewermath)

sara has 80000 to invest. she invests part a5 %. a fourth this amount at 6%, and the... (answered by MathLover1)

Sara has $60,000 to invest. She invest part at 4%, one half this amount at 3.5%, and the... (answered by mananth)

Julie has $80,000 to invest. She invests part at 5%, one fourth this amount at 6%, and... (answered by ikleyn)

missy Elliott invests some bonds at 8.5% simple interest and $2000 more than twice the... (answered by mananth)

a man has $34,000 to invest. He invests some at 5%, the balance at 4%. his annual... (answered by JBarnum)

How do I solve this: Sally has $25,000 to invest. She invests some money at 7% interest... (answered by lwsshak3)

An actor invests some money at 8%, and $34000 more than four times the amount at 9%. The... (answered by ewatrrr)

A woman invests $72,000 in two ways - some at 5% and the remaining amount at 3%. Her... (answered by josgarithmetic,greenestamps)