Question 546681
Let {{{a}}} = number of $1 bills
Let {{{b}}} = number of $5 bills
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given:
(1) {{{ 1a + 5b = 124 }}}
(2) {{{ b = a + 8 }}}
Substitute (2) into (1) and solve
(1) {{{ a + 5*( a + 8 ) = 124 }}}
(1) {{{ a + 5a + 40 = 124 }}}
(1) {{{ 6a = 84 }}}
(1) {{{ a = 14 }}}
and, since
(2) {{{ b = a + 8 }}}
(2) {{{ b = 14 + 8 }}}
(2) {{{ b = 22 }}}
There are 14 $1 bills and 22 $5 bills
check answer:
(1) {{{ 1a + 5b = 124 }}}
(1) {{{ 1*14 + 5*22 = 124 }}}
(1) {{{ 14 + 110 = 124 }}}
(1) {{{ 124 = 124 }}}
OK