Question 1134000
Let {{{ n }}} = the number of nickels
Let {{{ q }}} = the number of quarters
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(1) {{{ n + q = 72 }}}
(2) {{{ 5n + 25q = 1160 }}} ( in cents )
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(2) {{{ n + 5q = 232 }}}
Subtract (1) from (2)
{{{ 4q = 160 }}}
{{{ q = 40 }}}
and
(1) {{{ n + 40 = 72 }}}
(1) {{{ n = 32 }}}
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There were 32 nickels and 40 quarters
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check:
(2) {{{ 5*32 + 25*40 = 1160 }}}
(2) {{{ 160n+ 1000 = 1160 }}}
OK