Question 1067541
Let {{{ x }}} = cost in dollars of a bag of cashews
{{{ x - .26 }}} = cost in dollars of a bag of peanuts
{{{ 38/2 = 19 }}} = bags of peanuts needed
{{{ 19 }}} = bags of cashews needed also
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{{{ ( 19x + 19*( x - .26 )) / 38 = 1.3 }}}
{{{ ( 19x + 19x - 4.94 ) / 38 = 1.3 }}}
{{{ ( 38x - 4.94 ) / 38 = 1.3 }}}
{{{ 38x - 4.94 = 1.3*38 }}}
{{{ 38x = 49.4 + 4.94 }}}
{{{ 38x = 54.34 }}}
{{{ x = 1.43 }}}
and
{{{ x - .26 = 1.43 - .26 }}}
{{{ x - .26 = 1.17 }}}
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$1.43 = cost in dollars of a bag of cashews
$1.17 = cost in dollars of a bag of peanuts
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check:
{{{ ( 19x + 19*( x - .26 )) / 38 = 1.3 }}}
{{{ ( 19*1.43 + 19*1.17) / 38 = 1.3 }}}
{{{ ( 27.17 + 22.23 ) / 38 = 1.3 }}}
{{{ 49.4/38 = 1.3 }}}
{{{ 49.4 = 1.3*38 }}}
{{{ 49.4 = 49.4 }}}
OK