Question 896286
Let {{{ a }}} = quarts of alcohol to be added
{{{ .15*30 = 4.5 }}} quarts of alcohol in 15% solution
-------------------
{{{ ( a + 4.5 ) / ( a + 30 ) = .6 }}}
{{{ a + 4.5 = .6*( a + 30 ) }}}
{{{ a + 4.5 = .6a + 18 }}}
{{{ .4a = 13.5 }}}
{{{ a = 33.75 }}}
33.75 quarts of alcohol needs to be added
---------------
check:
{{{ ( a + 4.5 ) / ( a + 30 ) = .6 }}}
{{{ ( 33.75 + 4.5 ) / ( 33.75 + 30 ) = .6 }}}
{{{ 38.25 / 63.75 = .6 }}}
{{{ 38.25 = .6*63.75 }}}
{{{ 38.25 = 38.25 }}}
OK