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

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? Homework Help ✎

Construct a system of equations:

*A* + *B* = 50000*A*(1.08)^{1} + *B*(1.065)^{1} = 53550

$20,000 was invested in the 8% fund and

$30,000 was invested in the 6.5% fund.