Question 1009803
Let {{{ n }}} = number of nickels
Let {{{ q }}} = number of quarters
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(1) {{{ n + q = 15 }}}
(2) {{{ 5n + 25q = 215 }}} ( in cents )
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(2) {{{ n + 5q = 43 }}}
Subtract (1) from (2)
(2) {{{ n + 5q = 43 }}}
(1) {{{ -n - q = -15 }}}
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{{{ 4q = 28 }}}
{{{ q = 7 }}}
and
(1) {{{ n + q = 15 }}}
(1) {{{ n +7 = 15 }}}
(1) {{{ n = 8 }}}
8 nickels and 7 quarters
check:
(2) {{{ 5*8 + 25*7 = 215 }}}
(2) {{{ 40 + 175 = 215 }}}
(2) {{{ 215 = 215 }}}
OK