Question 503259
Let {{{p}}} = number of pennies he has
Let {{{n}}} = number of nickels he has
given:
(1) {{{ p + n = 1585 }}}
(2) {{{ 1*p + 5n = 3917 }}} ( in cents )
Subtract (1) from (2)
(2) {{{ p + 5n = 3917 }}}
(1) {{{ -p - n = -1585 }}}
{{{ 4n = 2332 }}}
{{{ n = 583 }}}
and, since
(1) {{{ p + n = 1585 }}}
(1) {{{ p + 583 = 1585 }}}
(1) {{{ p = 1585 - 583 }}}
(1) {{{ p = 1002 }}}
He has 1002 pennies and 583 nickels
check answer:
(2) {{{ p + 5n = 3917 }}}
(2) {{{ 1002 + 5*583 = 3917 }}}
(2) {{{ 1002 + 2915 = 3917 }}}
(2) {{{ 3917 = 3917 }}}
OK