algebra
posted by aj .
A man invested half of his money at 5%, onethird of his money at 4%, and the rest of his money at 5.5%. If his total investment income was $570, how much had he invested?
and please show me the solution to solve this problem. thanx
sorry bobpursly I cant understand your solution how can i compute this?

algebra 
Steve
1/2 + 1/3 = 5/6, so
.05 * x/2 + .04 * x/3 + .055 * x/6 = 570
multiply by 6 to clear fractions:
.05 * x * 3 + .04 * x * 2 + .055 * x = 6*570
.15x + .08x + .055x = 3420
.285x = 3420
x = 12000
.05 * 6000 = 300
.04 * 4000 = 160
.055 * 2000 = 110
Total: 570
Respond to this Question
Similar Questions

algebra interest word problem
Solve the problem. Roberto invested some money at 7%, and then invested $2000 more than twice this amount at 11%. His total annual income from the two investments was $3990. How much was invested at 11%? 
need help math
Solve the problem. Roberto invested some money at 7%, and then invested $2000 more than twice this amount at 11%. His total annual income from the two investments was $3990. How much was invested at 11%? 
algebra
you invested $8000, part of it in stock that paid 12% annual interest. however, the rest of the money suffered a 5% loss. if the total annual income from both investments was $620, how much was invested at each rate? 
algebra
Could you please answer this? Investment. Part of $25,000 is invested at 10 percent, another part is invested at 12 percent, and a third part is invested at 16 percent. The total yearly income from these three investments is $3,200. 
algebra
Glenn invested some money is a certificate of deposit (CD) with an annual yield of 9%. He invested twice as much money in a mutual fund with an annualy yield of 12%. His interest from the two investments at the end of the year was … 
algebra
A man invested half of his money at 5%, onethird of his money at 4%, and the rest of his money at 5.5%. If his total investment income was $570, how much had he invested? 
math
A person has invested $6000 . Part of the money is invested at 3% and the remaining amout at 4% . The annual income from the two investment is $225.How much is invested at each rate? 
algebra
A total of $12,000 is invested in two funds paying 9% and 11% simple interest. If the yearly interest is $1,180, how much of the $12,000 is invested at each rate? 
help!!
An investment banker received a bonus and invested that money in two investments. He put a certain sum of money in the first investment that returned 7% interest after one year. In the second investment he invested four times that … 
Math
I invested a certain amount of money at 4% and an amount $2000 less than the first amount at 5%. If the income from the 5% investment is 3/4 of the income from the other, find the amount of money that I invested at 4%.