2006 AMC 12A Problem 5
Attempt Problem 5 of the 2006 AMC 12A below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2006 AMC 12A solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
5.
Doug and Dave shared a pizza with equally-sized slices. Doug wanted a plain pizza, but Dave wanted anchovies on half of the pizza. The cost of a plain pizza was and there was an additional cost of for putting anchovies on one half. Dave ate all the slices of anchovy pizza and one plain slice. Doug ate the remainder. Each then paid for what he had eaten. How many more dollars did Dave pay than Doug?
Small Hint:
The plain pizza is for slices, so each plain slice costs
Big Hint:
Spread the anchovy surcharge over the anchovy slices, then total each person’s cost
Solution:
Each plain slice costs The anchovy charge is spread over the anchovy slices, adding each, so an anchovy slice costs
Dave ate anchovy slices and plain slice: Doug ate the remaining plain slices: Dave paid more.
Thus, the correct answer is D.
Problem 5 in Other Years
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