Question 1173978: Juan invested his savings in two investment funds. The $6,000 that he invested in Fund A returned a 10% profit. The amount that he invested in Fund B returned a 3% profit. How much did he invest in Fund B, if both funds together returned a 6% profit?
amount invested in fund B?
Found 2 solutions by ikleyn, ewatrrr:
Answer by ikleyn(52879)   (Show Source):
You can put this solution on YOUR website! .
Juan invested his savings in two investment funds. The $6,000 that he invested in Fund A returned a 10% profit.
The amount that he invested in Fund B returned a 3% profit. How much did he invest in Fund B, if both funds
together returned a 6% profit?
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Let x = the amount invested in fund B.
The partial interests are 0.1*6000 = 600 dollars for fund A and 0.03x dollars for fund B.
The total combined interest is 600 + 0.03x, and should be 0.06*(6000+x) dollars (desired).
It gives you this total interest equation
600 + 0.03*x = 0.06*(6000+x) dollars.
From the equation
x =  = 8000 dollars. ANSWER
Solved.
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To tutor @ewatrrr
Please look into the last line in your post source code.
It's me who added this line to your code.
May I ask you PLEASE to provide this line (such line) at the end of each your post ?
It serves to CLOSE the font options of your source code.
Otherwise, these options extend their influence to the posts of other tutors on the same subject.
THANK YOU.
@ikleyn
Answer by ewatrrr(24785)  (Show Source):
You can put this solution on YOUR website!
Hi,
Juan invested his savings in two investment funds.
The $6,000 that he invested in Fund A returned a 10% profit.
The amount that he invested in Fund B returned a 3% profit.
if both funds together returned a 6% profit,
find the amount invested in fund B?
___________
Let x be the amount invested in fund B
.10($6000) + .03x = .06($6000+ x)= .06$($6000) + .06x
.04($6000) = .03x
.04($6000)/.03 = x = $8000 the amount invested in fund B
___________
Note: Recommend doing the set-up by leaving the percentages in their
original decimal form, prior to going to your calculator.
*Checking our work
$600 + $240 = .06(14000) = $840 checks
Wish You the Best in your Studies.
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