A sum of $5000 is invested in three mutual funds that pay 8%, 11%, and 14% annual interest rates. The amount of money invested in the fund paying 14% equals the total amount of money invested in the other two funds, and the total annual interest from all three funds is $595. 

(a) Write a system of equations whose solution gives the amount invested in each mutual fund. Be sure to state what each variable represents. 

(b) Solve the system of equations.