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Problem 20 (2020 AMC 8)

AMC 8Normal

From module Arithmetic and Number Theory Basics

Problem

A scientist walking through a forest recorded as integers the heights of 55 trees standing in a row. She observed that each tree was either twice as tall or half as tall as the one to its right. Unfortunately some of her data was lost when rain fell on her notebook. Her notes are shown below, with blanks indicating the missing numbers. Based on her observations, the scientist was able to reconstruct the lost data. What was the average height of the trees, in meters? Tree 1: ___ meters Tree 2: 1111 meters Tree 3: ___ meters Tree 4: ___ meters Tree 5: ___ meters Average height: ___.2.2 meters

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