Question 995523
Let {{{ a }}} = amount Anna started with
Let {{{ b }}} = amount Bella started with
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given:
(1) {{{ a - 1.5 = b + 1.5 }}}
(2) {{{ b - 1.5 = ( 1/6 )*( a + 1.5 ) }}}
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(1) {{{ a - b = 3 }}}
and
(2) {{{ 6b - 9 = a + 1.5 }}}
(2) {{{ -a + 6b = 10.5 }}}
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Add the equations
(1) {{{ a - b = 3 }}}
(2) {{{ -a + 6b = 10.5 }}}
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{{{ 5b = 13.5 }}}
{{{ b = 2.7 }}}
and
(1) {{{ a - b = 3 }}}
(1) {{{ a - 2.7 = 3 }}}
(1) {{{ a = 5.7 }}}
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In the end, Bella had:
{{{ b - 1.5 = 2.7 - 1.5 }}}
{{{ b - 1.5 = 1.2 }}}
$1.2
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check:
(2) {{{ b - 1.5 = ( 1/6 )*( a + 1.5 ) }}}
(2) {{{ 2.7 - 1.5 = ( 1/6 )*( 5.7 + 1.5 ) }}}
(2) {{{ 1.2 = 7.2/6 }}}
(2) {{{ 7.2 = 7.2 }}}
OK