Respuesta :

[tex]\begin{gathered} A=\text{amount invested in fund A} \\ B=\text{ amount invested in fund B} \\ For\text{ Fund A} \\ \text{profit of 5\%=0.05} \\ \text{For fund B} \\ \text{loss of }2.5\text{ \%=0.025} \\ \text{Equation system} \\ A+B=16200\text{ (1)} \\ 0.05A-0.025B=450\text{ (2)} \\ From\text{ (1) solving A} \\ A=16200-B \\ U\sin g\text{ A in (2)} \\ 0.05A-0.025B=450\text{ } \\ 0.05(16200-B)-0.025B=450\text{ } \\ 810-0.05B-0.025B=450 \\ -0.05B-0.025B=450-810 \\ -0.075B=-360 \\ B=\frac{-360}{-0.075} \\ B=4800 \\ \text{Then} \\ A=16200-B \\ A=16200-4800 \\ A=11400 \\ \text{She invested \$11400 in fund A and 4800 in fund B} \end{gathered}[/tex]

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