SOLUTION: Diane invested her savings in two investment funds. The $8000 that she invested in Fund A returned a 3% profit. The amount that she invested in Fund B returned a 10% profit. How mu

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Question 941783: Diane invested her savings in two investment funds. The $8000 that she invested in Fund A returned a 3% profit. The amount that she invested in Fund B returned a 10% profit. How much did she invest in Fund B, if both funds together returned a 8% profit?
Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
profit on $ 8000 @3% = 3 % of 8000
= %283%2F100%29%2A8000
= 3%2A80
=240
let x be the amount invested in Fund B @ 10 %
profit on Fund B = 10 % of x
=+%2810%2F100%29%2Ax
=0.1x
total amount invested = 8000+x
total profit on (8000+x) @ 8% = 8 % of (8000+x)
=+%288%2F100%29%2A%288000%2Bx%29
=0.08%288000%2Bx%29
=0.08*8000+0.08*x
=640+0.08x
But total profit = profit on fund A + profit on Fund B
640+0.08 x= 240+0.1 x
move 240 to the left
640+0.08x-240 =0.1 x
400+0.08 x= 0.1 x
move 0.08x to the right
400 = =0.1x-0.08x
400 = x(0.1-0.08)
400 =x(0.02)
divide with 0.02 on both sides
400%2F0.02+=+0.02x%2F0.02
20,000 = x
Result: Amount invested on Fund B = $20,000