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10-97.

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

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.