2016 AMC 8 Problems/Problem 14

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14. Karl's car uses a gallon of gas every $35$ miles, and his gas tank holds $14$ gallons when it is full. One day, Karl started with a full tank of gas, drove $350$ miles, and continued driving to his destination. When he arrived, his gas tank was half full. How many miles did Karl drive that day?

$(A)\mbox{ }525\mbox{ }(B)\mbox{ }560\mbox{ }(C)\mbox{ }595\mbox{ }(D)\mbox{ }665\mbox{ }(E)\mbox{ }735\mbox{ }