Question 1157640
Let {{{ x }}} = amount invested in fund B
[ amount of interest received ] / [ total amount invested ] = [ combined interest rate ]
{{{ ( .01*6000 + .05x ) / ( 6000 + x ) = .02 }}}
{{{ ( 60 + .05x ) / ( 6000 + x ) = .02 }}}
{{{ 60 + .05x = .02*( 6000 + x ) }}}
{{{ 60 + .05x = 120 + .02x }}}
{{{ .03x = 60 }}}
{{{ x = 2000 }}}
$2,000 invested in fund B
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check:
{{{ ( 60 + .05x ) / ( 6000 + x ) = .02 }}}
{{{ ( 60 + .05*2000 ) / ( 6000 + 2000 ) = .02 }}}
{{{ ( 60 + 100 ) / 8000 = .02 }}}
{{{ 160 / 8000 = .02 }}}
{{{ 160 = 160 }}}
OK