Problema Solution
Martha invested a total of $39,000 in three different mutual funds. One fund earned a profit of 15%, while the other two funds had losses of 4% and 3% respectively. Martha lost a total of $360 from these three funds. If Martha invested $16,000 more in the fund that lost 3% than she did in the fund that lost 4%, find the amount invested in each fund.
She invested $___ in the fund with profit of 15%, $___ in the fund with losses of 4%, and $___ in the fund with losses of 3%.
Answer provided by our tutors
let say Martha invested
x dollars in the fund with profit of 15%,
y dollars in the fund with losses of 4%
z dollars in the fund with losses of 3%.
the total money invested is 39,000
x + y + z = 39000
Martha lost a total of $360 from these three funds
0.15*x - 0.04*y - 0.03*z = - 360
Martha invested $16,000 more in the fund that lost 3% than she did in the fund that lost 4%
z = y + 16000
by solving the system of equations
x + y + z = 39000
0.15*x - 0.04*y - 0.03*z = - 360
z = y + 16000
we find
x = $5,000
y = $9,000
z = $25,000
She invested $5,000 in the fund with profit of 15%, $9,000 in the fund with losses of 4%, and $25,000 in the fund with losses of 3%.