SOLUTION: A worker received a $10,000 bonus and decided to split it among three different accounts. He placed part in a savings account paying 4.5% per year, twice as much in government bon

Algebra.Com
Question 613861: A worker received a $10,000 bonus and decided to split it among three different accounts. He placed part in a savings account paying 4.5% per year, twice as much in government bonds paying 5%, and the rest in a mutual fund that returned 4%. His income from these investments after one year was $455. How much did the worker place in each account?
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
$ 10,1000 - Total
Savings = x------- 4.5%
Bonds=2x-------5%
(10000-3x)-----4%
Interest = 455
4.5%x+5%*(2x)+(10000-3x)*4%= 455
multiply equation by 100
4.5x+10x+40000-12x=45500
2.5x=45500-40000
2.5x=5500
x= 5500/2.5
x= 2200
so you know how much he invested in other accounts

RELATED QUESTIONS

A worker received a $10,000 bonus and decided to split it among three different... (answered by ikleyn)
Your business has decided to advertise on three social networking sites: Facebook,... (answered by Solver92311)
Your business has decided to advertise on three social networking sites: Facebook,... (answered by Solver92311)
Ms. Adams received a bonus check for $15,000. She decided to divide the money among three (answered by ankor@dixie-net.com)
A farmer has 27 hectares of land. He decided to share it among his three workers in the... (answered by jorel555)
Lakeitha earned $12,000 more in her accounting job this year because she received her CPA (answered by stanbon)
Mr. Jarvis invests a total of $12,644 in two savings accounts. One account yields 8.5%... (answered by stanbon)
Cameron was given a bonus for having the highest sales in his company. He took 15% of his (answered by rfer)
Mr. Simon invests a total of $7003 in two savings accounts. One account yields 7.5%... (answered by mananth)