Question 880545: Vanessa recently received a $75,000 inheritance. She distributed the money among three accounts bearing 6%, 8%, and 12% simple interest. The amount invested at 8% was three times that invested at 12%. If total interest after one year was $5,700, how much did she invest in each?
Found 2 solutions by lwsshak3, josmiceli:
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Vanessa recently received a $75,000 inheritance. She distributed the money among three accounts bearing 6%, 8%, and 12% simple interest. The amount invested at 8% was three times that invested at 12%. If total interest after one year was $5,700, how much did she invest in each?
***
let x=amount invested at 12%
3x=amount invested at 8%
75000-4x=amount invested at 6%
..
12%x+8%*3x+6%(75000-4x)=5700
.12x+.24x+4500-.24x=5700
0.12x=1200
x=10,000
3x=30,000
75000-4x=75,000-40,000=35,000
amount invested at 12%=$10,000
amount invested at 8%=$30,000
amount invested at 6%=$35,000
Answer by josmiceli(19441)  (Show Source):
|
|
|
