Answered

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?

Verified Answer :

\(100\%+25\%=125\%=\frac{125}{100}=1.25\\\\x;y-number\ of\ votes\ cast\ for\ candidates\ for\ mayor\\\\ \left\{\begin{array}{ccc}x=1.25y\\x+y=5175\end{array}\right\\\\subtitute:\\\\1.25y+y=5175\\2.25y=5175\ \ \ \ |divide\ both\ sides\ by\ 2.25\\\boxed{y=2300}\\\\x=1.25\times2300=2875\\\\Answer:\boxed{\boxed{2875}}\)

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