Question 1069967
(1)
Let {{{ x }}} = ounces of the 35% alcohol solution needed
{{{ .35x }}} = ounces of alcohol in the 35% solution
{{{ .4*9 = 3.6 }}} = ounces of alcohol in the 40% solution
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{{{ ( .35x + 3.6 ) / ( x + 9 ) = .36 }}}
{{{ .35x + 3.6 = .36*( x + 9 ) }}}
{{{ .35x + 3.6 = .36x + 3.24 }}}
{{{ .01x = 3.6 - 3.24 }}}
{{{ .01x = .36 }}}
{{{ x = 36 }}}
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36 ounces of the 35% alcohol solution are needed
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check:
{{{ ( .35x + 3.6 ) / ( x + 9 ) = .36 }}}
{{{ ( .35*36 + 3.6 ) / ( 36 + 9 ) = .36 }}}
{{{ ( 12.6 + 3.6 ) / 45 = .36 }}}
{{{ 16.2 / 45 = .36 }}}
{{{ 16.2 = 16.2 }}}
OK