Question 1018896
Alice/Brad = {{{ 5/3 }}}
Alice/total of students = {{{ 5/( 3 + 5 ) = 5/8 }}}
Let {{{ a }}} = number of votes for Alice
{{{ 5/8 = a/128 }}}
Multiply both sides by {{{ 128 }}}
{{{ 5*16 = a }}}
{{{ a = 80 }}}
Let {{{ b }}} = number of votes for Brad
{{{ a/b = 5/3 }}}
{{{ 80/b = 5/3 }}}
Multiply both sides by {{{ 3b }}}
{{{ 240 = 5b }}}
{{{ b = 48 }}}
80 voted for Alice
48 voted for Brad
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check:
{{{ a + b = 128 }}}
{{{ 80 + 48 = 128 }}}
{{{ 128 = 128 }}}
OK