### Home > INT3 > Chapter 10 > Lesson 10.2.1 > Problem10-105

10-105.

Ms. Fernandez invests $50,000$ of her lottery winnings into two different mutual funds. At the end of one year, both funds together are worth $53,550$. One of the funds has produced a return of $8\%$ while the other fund has produced a return of $6.5\%$. How much money was initially invested in each fund?

Construct a system of equations:

$A + B = 50000$
$A\left(1.08\right)^{1} + B\left(1.065\right)^{1} = 53550$

$20,000$ was invested in the $8\%$ fund and
$30,000$ was invested in the $6.5\%$ fund.