2017 AMC 10B Problem 12
Problem 12 of 25IntermediateAlgebra
Elmer’s new car gets better fuel efficiency, measured in kilometers per liter, than his old car. However, his new car uses diesel fuel, which is more expensive per liter than the gasoline his old car uses. By what percent will Elmer save money if he uses his new car instead of his old car for a long trip?
Answer choices
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Solution
Let the old car’s fuel efficiency be kilometers per liter and let gasoline cost dollars per liter. The old car therefore costs dollars per kilometer to fuel.
The new car gets kilometers per liter and its fuel costs dollars per liter, so its fuel cost per kilometer is
The new fuel cost is of the old one, so Elmer saves
Thus, the correct answer is A .