Question 1107442
Let {{{ x }}} = the price per bag of cashews
{{{ x - .28 }}} = the price per bag of peanuts
---------------------------------------
Since there are equal amounts of each in
the mixture, there are {{{ 64/2 = 32 }}} 
bags of each
---------------------------------------
{{{ ( 32x + 32*( x - .28 )) / 64 = 1.4 }}}
{{{ ( 32/64 )*( x + x - .28 ) = 1.4 }}}
{{{ (1/2)*( 2x - .28 ) = 1.4 }}}
{{{ 2x - .28 = 2.8 }}}
{{{ 2x = 3.08 }}}
{{{ x = 1.54 }}}
------------------
A bag of cashews is $1.54/bag
------------------------------
check:
{{{ ( 32x + 32*( x - .28 )) / 64 = 1.4 }}}
{{{ (32/64)*( 2x - .28 ) = 1.4 }}}
{{{ 2x - .28 = 2.8 }}}
{{{ 2*1.54 - .28 = 2.8 }}}
{{{ 3.08 - .28 = 2.8 }}}
{{{ 2.8 = 2.8 }}}
OK
check the math