SOLUTION: A woman has a total of $8,000 to invest. She invests part of the money in an account that pays 5% per year and the rest in an account that pays 9% per year. If the interest earned

Question 853231: A woman has a total of $8,000 to invest. She invests part of the money in an account that pays 5% per year and the rest in an account that pays 9% per year. If the interest earned in the first year is $520, how much did she invest in each account?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Part I 5.00% per annum ------------- Amount invested =x
Part II 9.00% per annum ------------ Amount invested = y
8000
Interest----- 520.00

Part I 5.00% per annum ---x
Part II 9.00% per annum ---y
Total investment
x + 1 y= 8000 -------------1
Interest on both investments
5.00% x + 9.00% y= 520
Multiply by 100
5 x + 9 y= 52000.00 --------2
Multiply (1) by -5
we get
-5 x -5 y= -40000.00
Add this to (2)
0 x 4 y= 12000
divide by 4
y = 3000
Part I 5.00% $ 5000
Part II 9.00% $ 3000

CHECK
5000 --------- 5.00% ------- 250.00
3000 ------------- 9.00% ------- 270.00
Total -------------------- 520.00

RELATED QUESTIONS
A woman has a total of $8,000 to invest. She invests part of the money in an account that (answered by greenestamps)

A woman has a total of $7,000 to invest. She invests part of the money in an account that (answered by greenestamps)

A woman has a total of $7,000 to invest. She invests part of the money in an account that (answered by josgarithmetic)

A woman has a total of $12,000 to invest. She invests part of the money in an account... (answered by ankor@dixie-net.com,greenestamps)

A woman has a total of $10,000 to invest. She invests part of the money in an account... (answered by greenestamps)

A woman has a total of $10,000 to invest. She invests part of the money in an account... (answered by richwmiller)

A woman has a total of $10,000 to invest. She invests part of the money in an account... (answered by addingup)

a woman has a total of 9,000 to invest.she invest part of the money in an account that... (answered by ikleyn)

1. Train A has a speed 20 miles per hour greater than that of train B. If train A travels (answered by ikleyn,greenestamps,josgarithmetic)