Finance problem

Question

A sum of $27 comma 500 was invested in three mutual funds. In one year, the first fund grew by 4%, the second by 5%, and the third by 7.5%. Total earnings were $1630. The amount invested in the third fund was $1500 less than the combined amount invested in the other two funds. Use a linear system of equations to determine the amount invested in each fund. Use the simple interest formula to calculate each fund's growth

Answer 1

x=amount invested in 1st fund

y = amount invested in the 2nd fund

z= amount invested in the 3rd fund

x+y+z=27500

.04x+.05y+.075z=1630

z=x+y-1500

start substituting and subtracting and post a reply if you get stuck