Question 1048774
Let {{{ x }}} = total ounces of 
liquid in original mixture
{{{ (1/3)*x }}} = ounces of syrup 
in original mixture
{{{ (2/3)*x }}} = ounces of water
in original mixture
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{{{ ( (1/3)*x ) / ( x + 6 ) = .2 }}}
{{{ (1/3)*x = .2*( x + 6 ) }}}
{{{ x = .6*( x + 6 ) }}}
{{{ x = .6x + 3.6 }}}
{{{ .4x = 3.6 }}}
{{{ x = 36/4 }}}
{{{ x = 9 }}}
9 ounces of liquid were in original mixture
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check:
{{{ ( (1/3)*x ) / ( x + 6 ) = .2 }}}
{{{ ( (1/3)*9 ) / ( 9 + 6 ) = .2 }}}
{{{ 3 / 15 = .2 }}}
{{{ 3 = .2*15 }}}
{{{ 3 = 3 }}}
OK