In an electon there were three candidates, 3/7 of the electors voted for the winner. The runer-up received 5/8 of the remaining votes. (a) what fraction of electors voted for the third candidate? (b) if the winner received 3021 votes more than the runner-up, how many electors voted?
win: 3/7
place: 5/8 * 4/7 = 5/14
(a) show: 1 - 3/7 - 5/14 = 3/14
(b) 3/7 x = 5/14 x + 3021
solve for x