A group of friends were helping themselves to cookies from a plate. John took 1/3 of the cookies. Then Paul ate 3/4 of the remaining cookies. After that, Michael ate 2/3 of what was left. Finally, Betty took 1 cookie. They saw that there was only 1 cookie left. How many cookies did Michael take?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A group of friends were helping themselves to cookies from a plate. John took 1/3 of the cookies. Then Paul ate 3/4 of the remaining cookies. After that, Michael ate 2/3 of what was left. Finally, Betty took 1 cookie. They saw that there was only 1 cookie left. How many cookies did Michael take?
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