Question 1119465
Let {{{ a }}} = the number of women who attended at first
Let {{{ b }}} = the number of men who attended at first
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(1) {{{ a + b = 304 }}}
(2) {{{ (2/5)*a = (4/9)*b }}}
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(1) {{{ b = 304 - a }}}
(2) {{{ (2/5)*a = (4/9)*( 304 - a ) }}}
Multiply both sides by {{{ 5*9 = 45 }}}
(2) {{{ 18a = 20*( 304 - a ) }}}
(2) {{{ 18a = 6080 - 20a }}}
(2) {{{ 38a = 6080 }}}
(2) {{{ a = 160 }}}
and
(1) {{{ b = 304 - 160 }}}
(1) {{{ b = 144 }}}
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144 men attended at first