Question 866129: Mai invested her savings in two investment funds. The amount she invested in Fund A was 4000 less than the amount she invested in Fund B. Fund A returned a 2% profit and Fund B returned a 7% profit. How much did she invest in Fund A, if the total profit from the two funds together was $1360?
Answer by mananth(16946)   (Show Source):
You can put this solution on YOUR website! x= Investment in B
y= Investment in A
1.00 x -1.00 y = 4,000.00 .............1
Total value
.07 x .02 y = 1,360.00 .............2
Eliminate y
multiply (1)by 1.00
Multiply (2) by 50.00
1.00 x -1.00 y = 4,000.00
3.50 x + 1.00 y = 68,000.00
Add the two equations
4.50 x = 72,000.00
/ 4.50
x = 16,000.00
plug value of x in (1)
1.00 x -1.00 y = 4,000.00
16,000.00 -1.00 y = 4,000.00
-1.00 y = 4,000.00 -16,000.00
-1.00 y = -12,000.00
y = 12,000.00
x= 16,000.00 Investment in B
y= 12,000.00 Investment in A
m.ananth@hotmail.ca
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