Question 1020283
Let {{{ m }}} = Madeline's number of OT hrs
Let {{{ j }}} = Jabob's number of OT hrs
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(1) {{{ m/j = 3/2 }}}
(2) {{{ m = j + 6 }}}
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(1) {{{ m = (3/2)*j }}}
Substitute (2) into (1)
(1) {{{ j + 6 = (3/2)*j }}}
(1) {{{ 2j + 12 = 3j }}}
(1) {{{ j = 12 }}}
and
(2) {{{ m = j + 6 }}}
(2) {{{ m = 12 + 6 }}}
(2) {{{ m = 18 }}}
Madeline worked 18 hrs OT
Jabob worked 12 hrs OT
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check:
(1) {{{ m/j = 3/2 }}}
(1) {{{ 18/12 = 3/2 }}}
(1) {{{ 3/2 = 3/2 }}}
OK