Question 1070593
Let {{{ x }}} = liters of the 6.35% mixture needed
{{{ .0635x }}} = liters of alcohol in 6.35% mixture
{{{ .1128*26.1 = 2.94408 }}} = liters of alcohol in 11.28% mixture
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{{{ ( .0635x + 2.94408 ) / ( x + 26.1 ) = .08 }}}
{{{ .0635x + 2.94408 = .08*( x + 26.1 ) }}}
{{{ .0635x + 2.94408 = .08x + 2.088 }}}
{{{ .0165x = .85608 }}}
{{{ x = 51.88364 }}}
51.884 liters of the 6.35% mixture is needed
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check:
{{{ ( .0635x + 2.94408 ) / ( x + 26.1 ) = .08 }}}
{{{ ( .0635*51.884 + 2.94408 ) / ( 51.884 + 26.1 ) = .08 }}}
{{{ ( 3.29463 + 2.94408 ) / 77.984 = .08 }}}
{{{ 6.23871 / 77.984 = .08 }}}
{{{ .0799999 = .08 }}}
close enough