An investor invested in a total of $3200 in two mutual funds. One fund is 5% profit and other is 2% profit. If the total profit was $130, then how much was invested in the mutual fund? 5% =? and 3% =?
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OpenStudy (anonymous):
so you would write system of equation
OpenStudy (anonymous):
Okay how would I go about doing this
OpenStudy (anonymous):
wait is it 2% or 3%?
OpenStudy (anonymous):
3%
OpenStudy (anonymous):
5% and 3%
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OpenStudy (anonymous):
let define
a= amount invested in 3%
b= amount invested in 5%
OpenStudy (anonymous):
a+b=3200
make sense?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
now another equation
.03 * a+.05 b=130
OpenStudy (anonymous):
make sense?
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OpenStudy (anonymous):
.03a+.0b=130?
OpenStudy (anonymous):
.05
OpenStudy (anonymous):
3 percent is .03 in decimal
if you multiply by amount invested , you get profit
OpenStudy (anonymous):
.03 x 130?
OpenStudy (anonymous):
?
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OpenStudy (anonymous):
130 is total invest or 3200
OpenStudy (anonymous):
3200 is total investment
OpenStudy (anonymous):
okay
OpenStudy (anonymous):
a + b = 3200
.03a+.05b=130
now you have to solve for a and b
OpenStudy (anonymous):
okay
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OpenStudy (anonymous):
do it
OpenStudy (anonymous):
5x+3(3200-x)=130?
OpenStudy (anonymous):
a+b=3200
a=3200-b
OpenStudy (anonymous):
sub that into second equation
OpenStudy (anonymous):
.03a+.05b=130
.03(3200-b)+.05b=130
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OpenStudy (anonymous):
Okay
OpenStudy (anonymous):
I am so illiterate with these types of math problems