Question 189886
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Let <font color=blue>x</font> = amount invested at 8%
And, <font color=blue>$7,000 - x</font> = amount inv. at 12%


Adding both to earn $764 interest:


{{{0.08(x)+0.12(7000-x)=764}}}
{{{0.08x+840-0.12x=764}}}
Combine similar terms: (change signs, "+" or "-")
{{{840-764=0.12x-0.08x}}}
{{{76=0.04x}}} ----> {{{cross(76)1900/cross(0.04)=cross(0.04)x/cross(0.04)}}}
<font color=blue>x= $1,900.00</font> amount inv. at 8%


$7,000.00 - $1,900.00 = <font color=blue> $5,100.00</font>, amount inv. at 12%



Let us check,
{{{0.08(1900)+0.12(5100)=764}}}
{{{152+612=764}}}
{{{764=764}}}


*Note: It's just make sense to invest more on higher interest




Thank you,
Jojo</font>