SOLUTION: Isabel invested her savings in two investment funds. The amount she invested in Fund A was $6000 less than the amount she invested in Fund B. Fund A returned a 7% profit and Fund B

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Question 1205652: Isabel invested her savings in two investment funds. The amount she invested in Fund A was $6000 less than the amount she invested in Fund B. Fund A returned a 7% profit and Fund B returned a 4% profit. How much did she invest in Fund B, if the total profit from the two funds together was $1780?
Found 3 solutions by math_tutor2020, josgarithmetic, ikleyn:
Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

x = amount invested in fund B
x-6000 = amount invested in fund A

0.07(x-6000) = profit from fund A
0.04x = profit from fund B

0.07(x-6000)+0.04x = total profit
0.07(x-6000)+0.04x = 1780
0.07x-420+0.04x = 1780
0.11x-420 = 1780
0.11x = 1780+420
0.11x = 2200
x = 2200/0.11
x = 20000 is the amount invested with fund B.

x-6000 = 20000-6000 = 14000 is the amount invested with fund A.
7% of A + 4% of B = 0.07*14000 + 0.04*20000 = 1780 total profit.
This confirms we have the correct answer.


Answer: $20,000 invested with fund B.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
FUND       RATE       AMT.INVT'D         PROFIT
  A         7%            x
  B         4%           x+6000
SUM                                       1780

x assigned to amount in fund A, for sign convenience.

0.07x%2B0.04%28x%2B6000%29=1780
-
0.07x%2B0.04x%2B%280.04%29%286000%29=1780
0.11x=1780-24%2A10%5E-2%2A10%5E3
0.11x=1780-240
x=%281780-240%29%2F0.11
x=14000---------------------Amount in fund B is 6000 dollars more, so highlight%2820000%29.

Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.
Isabel invested her savings in two investment funds. The amount she invested in Fund A was $6000 less
than the amount she invested in Fund B. Fund A returned a 7% profit and Fund B returned a 4% profit.
How much did she invest in Fund B, if the total profit from the two funds together was $1780?
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        What you call  " profit "  in your post,
        in professional language is called  " interest ".