A business firm invests a total of $$300,000$ into two portfolios, Portfolio $1$ and Portfolio $2.$ Portfolio $1$ earns a return of $40\%$ and Portfolio $2$ earns $60\%,$ giving a total return of

$$105,000.$ If we set $x$ to be the dollars invested in portfolio $1$ and $y$ the dollars invested in portfolio $2,$ determine which one of the following sets of equations could be used to

solve for $x$ and $y.$

$x+y=300000$ and

$40x+60y=105000$

$x+0\mathrm{.}40y=300000$ and

$x+0\mathrm{.}60y=105000$

$x+y=105000$ and

$0\mathrm{.}40x+0\mathrm{.}60y=300000$

$x+y=300000$ and

$0\mathrm{.}60x+0\mathrm{.}40y=105000$

$x+y=300000$ and

$0\mathrm{.}40x+0\mathrm{.}60y=105000$

Clear my selection