SOLUTION: Deandre invested his savings in two investment funds. The amount he invested in Fund A was $7000 less than the amount he invested in Fund B. Fund A returned a 7% profit and

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Deandre invested his savings in two investment funds. The amount he invested in Fund A was $7000 less than the amount he invested in Fund B. Fund A returned a 7% profit and      Log On


   



Question 1093893: Deandre invested his savings in two investment funds. The amount he invested in Fund A was
$7000
less than the amount he invested in Fund B. Fund A returned a
7%
profit and Fund B returned a
5%
profit. How much did he invest in Fund B, if the total profit from the two funds together was
$2150
?

Found 2 solutions by greenestamps, stanbon:
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!

Let x be the amount invested in fund B at 5%; then the amount invested in fund A at 7% is x-7000.

The interest from fund B is 5% of x,
.05x

The interest from fund A is 7% of (x-7000),
.07%28x-7000%29

The total interest from the two investments was $2150:
.05x+%2B+.07%28x-7000%29+=+2150

Solve the equation to find the amount x invested in fund B; the amount invested in fund A is $7000 less than that amount.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Deandre invested his savings in two investment funds. The amount he invested in Fund A was
$7000
less than the amount he invested in Fund B. Fund A returned a
7%
profit and Fund B returned a
5%
profit. How much did he invest in Fund B, if the total profit from the two funds together was
$2150
?
-----
0.05B + 0.07A = 2150
A = B - 7000
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Rearrange:
A - B = -7000
7A + 5B = 215000
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Modify::
7A - 7B = -49000
7A + 5B = 215000
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Stubtract and solve for "B"::
12B = 264000
B = $22000
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Cheers,
Stan H.
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