A strange announcement was made on the radio about a local election with three candidates: Mrs Allan, Mr Baxter and Ms Campbell. “Mrs Allan beat Mr Baxter by one eighth of the total votes cast. Mr Baxter beat Ms Campbell by a seventh of the total votes cast. The votes cast for Mrs Allan was 350 fewer than 3 times Ms Campbell's votes.” How many votes did each candidate get?
My answer was: Mrs Allen = 1300 votes Mr Baxter = 950 votes Ms Campbell = 550 votes
Am I correct?
You can make some equations, for mrs Allen beating Baxter: $$ a=b+(a+b+c)/8$$Baxter beats Campbell:$$ b=c+(a+b+c)/7$$and Allen and Campbell $$a+350= 3c$$ So yes you are correct.