an investor invested a total of $1,900 in two mutual funds. one fund earned a 9% profit while the other earned a 5%profit. if the investors total profit was $143, how much was invested in each mutual fund?

Question

campbell_st · Answer

you need to solve 2 questions 

let the amounts invested in each fund be x and y


then  

x + y = 1900

the profits are 

0.09x + 0.05y = 143

so you need to solve the equations 

        x +         y = 1900         (1)
0.09x  + 0.05y = 143           (2)

multiply equation 2 by 20 and subtract from equation 1 which will eliminate y


          x  +   y    = 1900
 -  1.8x  +   y    = 2860
---------------------

-0.8x                = 960

solve for x. 

when you have x substitute it into equation 1 to find y. 

this will give the amounts invested in each fund

campbell_st · Answer

oops should read 

-0.8 = -960

then solve for x