SOLUTION: Mummy invested a total of $25000 in stocks, bonds and mutual fund. in one year, she earned 8% on her stocks investment, 10% on her bonds investment and 6% on her mutual fund invest

Algebra.Com
Question 1101819: Mummy invested a total of $25000 in stocks, bonds and mutual fund. in one year, she earned 8% on her stocks investment, 10% on her bonds investment and 6% on her mutual fund investment, with a total of $1860. unfortunately, the amount she invested in the mutual fund was twice as large as the amount she invested in the bonds. how much did she invest in each?
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
s+b+m=25000
.08s+.10*b+.06m=1860
m=2b
s+b+2b=25000
s+3b=25000
.08s+.10*b+.06*2b=1860
.08s+.22b=1860
s+3b=25000
Solved by pluggable solver: Linear System solver (using determinant)
Solve:


Any system of equations:


has solution

or



(s=4000, b=7000}

m=2b
m=14000
check
4000+7000+14000=25000
ok
check
.08s+.10*b+.06m=1860
.08 *4000+.10*7000+.06*14000=1860
320+700+840=1860
1860=1860
ok

RELATED QUESTIONS

Marita invested a total of $25,000 in stocks, bonds, and a mutual fund. In one year she... (answered by richwmiller)
Jon invested a total of $12,000 in stocks, bonds, and mutual funds. She Received a 10%... (answered by ptaylor,edjones)
An investor had a total of 25,000 put into a portfolio of stocks, bonds, and mutual... (answered by mananth)
I am having a bit of trouble with this - any help would be appreciated- Last year,... (answered by stanbon)
Marko invested $300 000 in stocks, bonds and a savings account at the rates shown on the... (answered by richwmiller)
Marko invested $300 000 in stocks, bonds and a savings account at the rates shown on the... (answered by ankor@dixie-net.com)
a person invested $25,000 in stocks and bonds. Her investment in bonds is $1000 more than (answered by ewatrrr)
One year an investor earned $2,750 from a $50,000 investment in bonds and stocks. She... (answered by stanbon)
The amount of money a broker invested in bonds was double of what she invested in a... (answered by richwmiller)