Question 1025541
Let {{{ n }}} = number of nickels she has
Let {{{ q }}} = number of quarters she has
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(1) {{{ n = q+ 2 }}}
(2) {{{ 5n + 25q = 250 }}}
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(2) {{{ n + 5q = 50 }}}
Substitute (1) into (2)
(2) {{{ q + 2 + 5q = 50 }}}
(2) {{{ 6q = 48 }}}
(2) {{{ q = 8 }}}
and
(1) {{{ n = q+ 2 }}}
(1) {{{ n = 8 + 2 }}}
(1) {{{ n = 10 }}}
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She has 10 nickels and 8 quarters
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check:
(2) {{{ 5n + 25q = 250 }}}
(2) {{{ 5*10 + 25*8 = 250 }}}
(2) {{{ 50 + 200 = 250 }}}
(2) {{{ 250 = 250 }}}
OK