Question 690849
Let {{{ x }}} = liters of $1.80/ liter orange juice needed
{{{ 2.4 + x }}} = liters of punch after mixing
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{{{ ( 1.8x + 1.15*2.4 ) / ( 2.4 + x ) = 1.54 }}}
{{{ ( 1.8x + 2.76 ) / ( 2.4 + x ) = 1.54 }}}
{{{ 1.8x + 2.76 = 1.54*( 2.4 + x ) }}}
{{{ 1.8x + 2.76 = 3.696 + 1.54x }}}
{{{ 1.8x - 1.54x = 3.696 - 2.76 }}}
{{{ .26x = .936 }}}
{{{ x = 3.6 }}}
3.6 liters of $1.80/ liter orange juice are needed
check answer:
{{{ ( 1.8x + 1.15*2.4 ) / ( 2.4 + x ) = 1.54 }}}
{{{ ( 1.8*3.6 + 1.15*2.4 ) / ( 2.4 + 3.6 ) = 1.54 }}}
{{{ ( 6.48 + 2.76 ) / 6 = 1.54 }}}
{{{ 9.24 / 6 = 1.54 }}}
{{{ 9.24 = 1.54*6 }}}
{{{ 9.24 = 9.24 }}}
OK