Let x be the amount invested in fund B
Then the total amount invested in both funds is (x + 6000) dollars
Knowing that, if a initial investment in a fund is P and the profit rate is r, the total amount earned is given by:
[tex]r\cdot P[/tex]We have:
[tex]\begin{gathered} 0.03\cdot6000+0.10\cdot x=0.07\cdot(x+6000) \\ 180+0.1x=0.07x+420 \\ 0.1x-0.07x=420-180 \\ 0.03x=240 \\ x=\frac{240}{0.03} \\ x=\text{ \$8000} \end{gathered}[/tex]Answer: Tony invested $8000 in fund B
