SOLUTION: Lisa invested her savings in two investment funds. The $ 6000 that she invested in Fund A returned a 1 % profit. The amount that she invested in Fund B returned a 5

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Question 1157640: Lisa invested her savings in two investment funds. The
$
6000
that she invested in Fund A returned a
1
%
profit. The amount that she invested in Fund B returned a
5
%
profit. How much did she invest in Fund B, if both funds together returned a
2
%
profit?

Found 2 solutions by josmiceli, greenestamps:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = amount invested in fund B
[ amount of interest received ] / [ total amount invested ] = [ combined interest rate ]
+%28+.01%2A6000+%2B+.05x+%29+%2F+%28+6000+%2B+x+%29+=+.02+
+%28+60+%2B+.05x+%29+%2F+%28+6000+%2B+x+%29+=+.02+
+60+%2B+.05x+=+.02%2A%28+6000+%2B+x+%29+
+60+%2B+.05x+=+120+%2B+.02x+
+.03x+=+60+
+x+=+2000+
$2,000 invested in fund B
-------------
check:
+%28+60+%2B+.05x+%29+%2F+%28+6000+%2B+x+%29+=+.02+
+%28+60+%2B+.05%2A2000+%29+%2F+%28+6000+%2B+2000+%29+=+.02+
+%28+60+%2B+100+%29+%2F+8000+=+.02+
+160+%2F+8000+=+.02+
+160+=+160+
OK

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


(1) The average profit of 2% is one-fourth of the way from 1% to 5%.

(2) That means one-fourth of the total was invested at 5%.

(3) So the $6000 invested at 1% was three-fourths of the total.

(4) So the amount invested at 5% was $2000.

ANSWER: $2000 invested in Fund B.

CHECK:
.01(6000)+.05(2000) = 60+100 = 160
.02(8000) = 160