Question 1106037
Let {{{ a }}} = the number of doctors
Let {{{ b }}} = the number of lawyers
Let {{{ c }}} = the total of the ages of the doctors
Let {{{ d }}} = the total of the ages of the lawyers
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(1) {{{ 35 = c / a }}}
(1) {{{ c = 35a }}}
and
(2) {{{ 50 = d / b }}}
(2) {{{ d = 50b }}}
{{{ c + d }}} = the total of ages of doctors and lawyers
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(3) {{{ 40 = ( c + d ) / ( a + b ) }}}
(3) {{{ 40 = ( 35a + 50b ) / ( a + b ) }}}
(3) {{{ 40*( a + b ) = 35a + 50b }}}
(3) {{{ 40a + 40b = 35a + 50b }}}
(3) {{{ 5a = 10b }}}
(3) {{{ a/b = 10/5 }}}
(3) {{{ a/b = 2/1 }}}
The ratio is 2 to 1