Question 606852
Let {{{ x }}} = number of nickels Jamie has
Nick has {{{ (1/4)*12 + (3/2)*x }}}
given:
The amount of money Jamie has is:
{{{ 12*10 + 5x = 120 + 5x }}} ( in cents )
The amount of money Nick has is:
{{{ (1/4)*12*10 + (3/2)*x*5 = 30 + (15/2)*x}}} ( in cents )
given:
{{{ 120 + 5x = 30 + (15/2)*x }}}
Multiply both sides by {{{2}}}
{{{ 240 + 10x = 60 + 15x }}}
{{{ 5x = 180 }}}
{{{ x = 36 }}}
Nick has {{{ (3/2)*36 = 54 }}} nickels
check answer:
Jamie has
{{{ 12*10 + 5x = 120 + 5x }}} 
{{{ 120 + 5*36 = 120 + 180 }}}  
{{{ 120 + 180 = 300 }}} cents
and Nick has
{{{ (1/4)*12*10 + (3/2)*x*5 = 30 + (15/2)*x}}}
{{{ 30 + (15/2)*36 = 30 + 270 }}}
{{{ 30 + 270 = 300 }}}
OK