SOLUTION: On two investments totaling $7,000, Lydia lost 4% on one and earned 6% on the other. If her net annual receipts were $308, how much was each investment?

Question 1153667: On two investments totaling $7,000, Lydia lost 4% on one and earned 6% on the other. If her net annual receipts were $308, how much was each investment?

Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = amount invested at 4%
= amount invested at 6%
Use
----------------------------------------------
(1)
(2)
(3)
-------------------------------------
Add (1) and (2)

and

-------------------------------
$1,120 = amount invested at 4%
$5,880 = amount invested at 6%
-------------------------------------
check:
(1)
(2)
---------------------------------------
(1)
(1)
and
(2)
(2)
(2)
and
(3)
(3)
(3)
OK

Answer by MathTherapy(10556) (Show Source): You can put this solution on YOUR website!

On two investments totaling $7,000, Lydia lost 4% on one and earned 6% on the other. If her net annual receipts were $308, how much was each investment?

Let amount invested in fund that lost 4% be F
Then amount invested in fund that gained 6% = 7,000 - F
We then get: - .04F + .06(7,000 - F) = 308
- .04F + 420 - .06F = 308
- .1F = - 112
F, or amount invested in fund that LOST 4%:
Amount invested in fund that GAINED 6%:
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