An investor invested a total of $1,300 in two mutal funds. One fund earns a 9% profit while the other earned a 4% profit. If the investor's total profit was $92, how much was invested in each mutal fund?

Question

mathstudent55 · Answer

Let x = amount invested at 9% 
Let y = amount invested at 4%

x + y = 1300
0.09x + 0.04y = 92

Solve the system of equations

anonymous · Answer

I dont know what to do after that i am confused after this point

mathstudent55 · Answer

Solve the first equation for x,
x = 1300 - y
Now insert what x is in for x in other equation:
0.09x + 0.04y = 92
0.09(1300 - y) +0.04y = 92
Distribute 0.09:
117 - 0.09y + 0.04y = 92
-0.05y = -25
y = 500

x + y = 1300
x + 500 = 1300
x = 800

Answer: $800 invested at 9% and $500 invested at 4%

anonymous · Answer

thank you i sort of get it now.

mathstudent55 · Answer

yw