After Don ate 1/8 of the pie and Ron ate 1/7 of the remainder of the pie, the other five friends divided the rest of the pie equally among themselves what perce
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1. User Answers jdoe0001
x = the whole pie.
well, Don ate (1/8)x, how much was it left? [tex]x \cfrac{1}{8}x\implies \cfrac{x}{1} \cfrac{x}{8}\implies \cfrac{8xx}{8}\implies \cfrac{7x}{8}[/tex]
well, so that's the remainder.
Then Ron ate 1/7 of the remainder [tex]\cfrac{7x}{8}\div 7\implies \cfrac{7x}{8}\div \cfrac{7}{1}\implies \cfrac{7x}{8}\cdot \cfrac{1}{7}\implies \cfrac{x}{8}[/tex]
well, how much is it left? [tex]\stackrel{\textit{Don leftover}}{\cfrac{7x}{8}}\stackrel{\textit{Ron's bite}}{\cfrac{x}{8}}\implies \cfrac{6x}{8}\implies \cfrac{3x}{4}[/tex]
well, there are 5 friends how much did each one get from the whole pie?
[tex]\cfrac{3x}{4}\div 5\implies \cfrac{3x}{4}\div \cfrac{5}{1}\implies \cfrac{3x}{4}\cdot \cfrac{1}{5}\implies \implies \cfrac{3x}{20}\implies \stackrel{\textit{each friend}}{\boxed{\cfrac{3}{20}x}}[/tex]