Question 1048860
Let {{{ s }}} = hours Sarah worked
Let {{{ j }}} = hours Josh worked
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(1) {{{ s = j + 10 }}}
(2) {{{ s/j = 7/2 }}}
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Multiply both sides of (2) by {{{ 2j }}}
(2) {{{ 2s = 7j }}}
Substitute (1) into (2)
(2) {{{ 2*( j + 10 ) = 7j }}}
(2) {{{ 2j + 20 = 7j }}}
(2) {{{ 5j = 20 }}}
(2) {{{ j = 4 }}}
and
(1) {{{ s = j + 10 }}}
(1) {{{ s = 4 + 10 }}}
(1) {{{ s = 14 }}}
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Sarah worked 14 hrs
Josh worked 4 hrs