Karl's car uses a gallon of gas every 35 miles, and his gas tan k holds 14 gallons when it is full. One day, Karl started with a full tan k of gas, drove 350 miles, bought 8 gallons of gas, and continued driving to his destination. When he arrived, his gas tan k was half full. How many miles did Karl drive that day?
A. 525
B. 560
C. 595
D. 665
E. 735

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Worked solution

1. 2016 AMC 8 官方解析

翻译:卡尔的汽车一加仑汽油能跑35英里,他的汽车邮箱加满是14加仑汽油.一天,卡尔加满了汽油,驾驶汽车开了350英里,然后又加了8加仑汽油,继续开到他的目的地,当他到达目的地的时候,油箱还剩下半箱汽油,那么这一天卡尔驾驶汽车一共行驶了( )英里.
先算耗油,再算路程,先跑了350英里,耗油 350÷35=10350 \div 35 = 10 (加仑),剩 14−10=414 - 10 = 4 (加仑),+8=12 + 8 = 12 (加仑),到目的地后剩一半,也就是 14÷2=714 \div 2 = 7 (加仑),又用掉 12−7=512 - 7 = 5 (加仑),所以总路程是 350+5×35=525350 + 5 \times 35 = 525 (英里).

Answer

A. 525

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