Question 284842
x equals amount he invested in the fund that paid 11% profit.
y equals the amount he invested in the fund that suffered a 4% loss.


His overall net profit was $650.


You have 2 equations to work with.


They are:


x + y = 10,000.


.11x - .04y = 650


You need to solve these 2 equations to get your answer.


solve for y in the first equation to get:


y = 10,000 - x.


Substitute that value for y in the second equation to get:


.11x - .04*(10,000 - x) = 650


Simplify to get:


.11x - .04*10,000 + .04x = 650


Combine like terms and simplify further to get:


.15x - 400 = 650


Add 400 to both sides of this equation to get:


.15x = 650 + 400


Combine like terms to get:


.15x = 1050


Divide both sides of this equation by .15 to get:


x = 7,000


Since x + y = 10,000, this means that y = 3,000


Your original equation is:


.11x - .04y = 650


Substitute 7,000 for x and 3,000 for y to get:


.11*7,000 - .04*3,000 = 650


Simplify to get:


770 - 120 = 650 confirming that the values for x and y are good.


He gained $770 from the 7,000 investment and he lost $120 from the 3,000 investment for a net profit of $650.00