Question 852965
Let {{{ a }}} = how much apprentice makes
Let {{{ j }}} = how much journeyman makes
Let {{{ m }}} = how much master carpenter makes
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(1) {{{ j = 2a }}}
(2) {{{ m = 2.5j }}}
(3) {{{ a + j + m = 6400 }}}
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This is 3 equations and 3 unknowns, so it's solvable
(1) {{{ a = (1/2)*j }}}
Substitute (1) and (2) into (3)
(3) {{{ a + j + m = 6400 }}}
(3) {{{ (1/2)*j + j + 2.5j = 6400 }}}
(3) {{{ 4j = 6400 }}}
(3) {{{ j = 1600 }}}
and
(1) {{{ a = (1/2)*j }}}
(1) {{{ a = 800 }}}
and
(2) {{{ m = 2.5j }}}
(2) {{{ m = 2.5*1600 }}}
(2) {{{ m = 4000 }}}
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The apprentice makes $800
The journeyman makes $1,600
The master carpenter makes $4,000
check:
(3) {{{ a + j + m = 6400 }}}
(3) {{{ 800 + 1600 + 4000 = 6400 }}}
(3) {{{ 6400 = 6400 }}}
OK