Question 1043796
Find how many liters of alcohol in mixture
{{{ .89*200 = 178 }}} liters
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Let {{{ x }}} = liters of water to be added
{{{ 178 / ( x + 200 ) = .43 }}}
{{{ 178 = .43*( x + 200 ) }}}
{{{ 178 = .43x + 86 }}}
{{{ .43x = 92 }}}
{{{ x = 213.95 }}}
213.95 liters of water must be added
( about 214 liters )
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check:
{{{ 178 / ( x + 200 ) = .43 }}}
{{{ 178 / ( 213.95 + 200 ) = .43 }}}
{{{ 178 / 413.95 = .43 }}}
{{{ 178 = .43*413.95 }}}
{{{ 178 = 177.9985 }}}
close enough