Question 613696
Let {{{ a }}} = James share
Let {{{ b }}} = Ashley's share
Let {{{ c }}} = Nicole's share
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given:
(1) {{{ a + b + c = 340 }}} points
(2) {{{ a = b - 40 }}}
(3) {{{ b = c - 80 }}}
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(3) {{{ b = c - 80 }}}
(3) {{{ c = b + 80 }}}
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Substitute (2) and (3) into (1)
(1) {{{ a + b + c = 340 }}
(1) {{{ b - 40 + b + b + 80 = 340 }}
(1) {{{ 3b + 40 = 340 }}}
(1) {{{ 3b = 340 - 40 }}}
(1) {{{ 3b = 300 }}}
(1) {{{ b = 100 }}}
and, from (3),
(3) {{{ c = 100 + 80 }}}
(3) {{{ c = 180 }}}
From (2),
(2) {{{ a = b - 40 }}}
(2) {{{ a = 100 - 40 }}}
(2) {{{ a = 60 }}}
60 is James share
100 is Ashley's share
180 is Nicole's share
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check:
(2) {{{ 60 = 100 - 40 }}}
(2) {{{ 60 = 60 }}}
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(3) {{{ 100 = 180 - 80 }}}
(3) {{{ 100 = 100 }}}
OK