Question 1028655: If A invests 40% of his money and B invests 45% of his money, the total investment will be $215,000. If A invests 45% of his money and B invests 40% of his money then the total investment will be $210,000. How much money do they each have available to invest?
Answer by mananth(16946)   (Show Source):
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If A invests 40% of his money and B invests 45% of his money,
Let A have $x
and B have $y
the total investment will be $215,000.
40%x+45%y=215000
multiply by 100
40x+45y=21500000....................(1)
If A invests 45% of his money and B invests 40% of his money then the total investment will be $210,000.
45%x+40%y =210000
multiply by 100
45x+40y = 21000000................(2)
40x+45y=21500000....................(1)
45x+40y = 21000000................(2)
add the equations
85x+85y= 42500000
/95
x+y = 500,000................(4)
40x+45y=21500000....................(1)
45x+40y = 21000000................(2)
subtract (2) from (1)
-5x+5y=-500000
/-5
x-y = 100000.................(5)
add (4) & (5)
2x= 600000
x= 300,000
y=200,000
These are available for investment
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