Question

Elections In a mayoral election, the number of votes for the incumbent was

25% more than the number for the opponent. Altogether, the two candidates
received 5175 votes. How many votes did the incumbent mayor receive?

Answer 1

`100\%+25\%=125\%=(125)/(100)=1.25\\\\x;y-number\ of\ votes\ cast\ for\ candidates\ for\ mayor\\\\ \left\{\begin{array}{ccc}x=1.25y\\x+y=5175\end{array}\right\\\\subtitute:\\\\1.25y+y=5175\\2.25y=5175\ \ \ \ |divide\ both\ sides\ by\ 2.25\\\boxed{y=2300}\\\\x=1.25*2300=2875\\\\Answer:\boxed{\boxed{2875}}`