Question 979891
{{{ d = n + 11 }}}
{{{ 10d + 5n = 455 }}}
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By substitution:
{{{ 10*( n + 11 ) + 5n = 455 }}}
{{{ 10n + 110 + 5n = 455 }}}
{{{ 15n = 345 }}}
{{{ n = 23 }}}
and
{{{ d = n + 11 }}}
{{{ d = 23 + 11 }}}
{{{ d = 34 }}}
You have 23 nickels
check:
{{{ 10d + 5n = 455 }}}
{{{ 10*34 + 5*23 = 455 }}}
{{{ 340 + 115 = 455 }}}
{{{ 455 = 455 }}}
OK