AMC 10 Step by Step
2017 AMC 10BProblem 12P11-15~3 minPrint

Elmer's new car gives 50%50\% better fuel efficiency. However, the new car uses diesel fuel, which is 20%20\% more expensive per liter than the gasoline the old car used. By what percent will Elmer save money if he uses his new car instead of his old car for a long trip?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.