Problem 44763. Pumpkin Pie!

Created by goc3

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>It's time for desert at Thanksgiving. You've all gathered at grandma's house, and she's about to start cutting the pumpkin pie. You notice, though, that the same particular routine is always followed:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ - each guest tells her what fraction of the remaining pie they want\n - there are an arbitrary number of relatives present each year\n - you are next to last, since you always sit next to grandpa\n - grandpa is last, and will eat whatever is left\n > however, he should only eat up to 1/8 of the total pie, due to health problems\n > but, if you don't leave him 1/8 of the pie, you probably won't get a good Christmas present]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>So, you must calculate the fraction of what remains to eat such that 1/8 of the whole pie is left for grandpa. If whatever remains is less than or equal to 1/8, you can 'pass', and grandpa won't hold a grudge.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>You must give grandma a fraction (in character format), though. She despises decimals, but loves to simplify fractions, so just ensure that the fraction you provide is close enough to the decimal value.</w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

It's time for desert at Thanksgiving. You've all gathered at grandma's house, and she's about to start cutting the pumpkin pie. You notice, though, that the same particular routine is always followed:<pre> - each guest tells her what fraction of the remaining pie they want
 - there are an arbitrary number of relatives present each year
 - you are next to last, since you always sit next to grandpa
 - grandpa is last, and will eat whatever is left
 &gt; however, he should only eat up to 1/8 of the total pie, due to health problems
 &gt; but, if you don't leave him 1/8 of the pie, you probably won't get a good Christmas present</pre>So, you must calculate the fraction of what remains to eat such that 1/8 of the whole pie is left for grandpa. If whatever remains is less than or equal to 1/8, you can 'pass', and grandpa won't hold a grudge.You must give grandma a fraction (in character format), though. She despises decimals, but loves to simplify fractions, so just ensure that the fraction you provide is close enough to the decimal value.

Solve

Solution Stats

17 Solutions
8 Solvers

Last Solution submitted on Apr 24, 2021

Last 200 Solutions

Problem Comments

Solution Comments

Solution 1670496

1 Comment

1 Comment

li haitao on 12 Nov 2018

A cheat solution.
The fractions are not a simplify fractions.

Problem Recent Solvers8

Problem Tags

desert fraction holiday pie pumpkin string thanksgiving

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 44763. Pumpkin Pie!

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers8

Suggested Problems

More from this Author139

Problem Tags

Community Treasure Hunt

Problem 44763. Pumpkin Pie!

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers8

Suggested Problems

More from this Author139

Problem Tags

Community Treasure Hunt

Players