Question 622885
Let {{{ x }}} = liters of juice in 3 L of brand A
{{{ .5*5 = 2.5 }}} liters of juice in 5 L of brand B
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{{{ ( x + 2.5 ) / ( 3 + 5 ) = .44 }}}
{{{ ( x + 2.5 ) / 8 = .44 }}}
{{{ x + 2.5 = 3.52 }}}
{{{ x = 3.52 - 2.5 }}}
{{{ x = 1.02 }}}
There are 1.02 liters of juice in 3 L of brand A
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{{{ 1.02 / 3 = .34 }}}
Brand A mixture has 34% fruit juice
check answer:
{{{ ( x + 2.5 ) / 8 = .44 }}}
{{{ ( 1.02 + 2.5 ) / 8 = .44 }}}
{{{ 3.52 / 8 = .44 }}}
{{{ 3.52 = 8*.44 }}}
{{{ 3.52 = 3.52 }}}
OK