Assume that a woman invests $x in the mutual fund that averages 10% per year.

Since, she invests only in two mutual funds, she invests remaining amount in another mutual fund. That is, she invests in the mutual fund that averages 14%.

The average annual return on the two mutual fund is $5720.

The annual return on the mutual funds can be calculated as follows:

Calculate x as follows:

Thus, the investment in 10% mutual fund is $36000.