Question 641149
Let {{{ c }}} = price per pound of copper in dollars
Let {{{ t = c + 2 }}} = price per pound of tin in dollars
given:
{{{ 2t + 8c = 3.65*10 }}}
{{{ 2*( c + 2 ) + 8c = 3.65*10 }}}
{{{ 2c + 4 + 8c = 3.65*10 }}}
{{{ 10c = 36.5 - 4 }}}
{{{ 10c = 32.5 }}}
{{{ c = 3.25 }}}
and
{{{ t = c + 2 }}}
{{{ t = 5.25 }}}
tin is worth $5.25/pound
check:
{{{ 2t + 8c = 3.65*10 }}}
{{{ 2*5.25 + 8*3.25 = 3.65*10 }}}
{{{ 10.5 + 26 = 36.5 }}}
{{{ 36.5 = 36.5 }}}
OK