Question 911346
Let {{{ x }}} = amount to be invested @ 12%
Let {{{ 1200 - x }}} = amount to be invested @ 6%
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{{{ .11*450 + .12x + .06*( 1200 - x ) = .09*1650 }}}
{{{ 49.5 + .12x + 72 - .06x = 148.5}}}
{{{ .06x + 121.5 = 148.5 }}}
{{{ .06x = 27 }}}
{{{ x = 450 }}}
{{{ 1200 - x = 750 }}}
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$450 should be invested @12%
$750 should be invested @ 6%
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check:
{{{ .11*450 + .12x + .06*( 1200 - x ) = .09*1650 }}}
{{{ .11*450 + .12*450 + .06*( 1200 - 450 ) = .09*1650 }}}
{{{ 49.5 + 54 + .06*750 = 148.5 }}}
{{{ 103.5 + 45 = 148.5 }}}
{{{ 148.5 = 148.5 }}}
OK