Question 411085
{{{p}}} = number of pennies
{{{n}}} = number of nickels
given:
(1) {{{p + n = 450}}}
(2) {{{1*p + 5*n = 1450}}} (in cents)
subtract (1) from (2)
(2) {{{1*p + 5*n = 1450}}
(1) {{{-p - n = -450}}}
{{{4n = 1000}}}
{{{n = 250}}}
and, since
{{{p + n = 450}}}
{{{p = 200}}}
There are 200 pennies and 250 nickels