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2011 AMC 10AProblem 3P1-10~2 minPrint
FunctionsRatios, Percents & AveragesSet up the equation/formula and compute; no special trick needed

Suppose [a b][a\ b] denotes the average of aa and bb , and {a b c}\{a\ b\ c\} denotes the average of a,ba, b , and cc . What is {{1 1 0} [0 1] 0}\{\{1\ 1\ 0\}\ [0\ 1]\ 0\} ?

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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.