Question 663208
Let {{{ n }}} = number of nickels
Let {{{ d }}} = number of dimes
given:
(1) {{{ n + d = 85 }}}
(2) {{{ 5n + 10d = 610 }}} ( in cents )
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(2) {{{ n + 2d = 122 }}}
Subtract (1) from (2)
(2) {{{ n + 2d = 122 }}}
(1) {{{ -n - d = -85 }}}
{{{ d = 37 }}}
and
(1) {{{ n + 37 = 85 }}}
(1) {{{ n= 48 }}}
48 = number of nickels
37 = number of dimes
check:
(2) {{{ 5n + 10d = 610 }}}
(2) {{{ 5*48 + 10*37 = 610 }}}
(2) {{{ 240 + 370 = 610 }}}
(2) {{{ 610 = 610 }}}
OK