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A woman with a basket of eggs finds that if she removes the eggs from the basket 5 or 11 at a time, there is always 1 egg left. However, if she removes the eggs 8 at a time, there are no eggs left. If the basket holds up to 100 eggs, how many eggs does she have? She has eggs.

A woman with a basket of eggs finds that if she removes the eggs from the basket 5 or 11 at a time, there is always 1 egg left. However, if she removes the eggs 8 at a time, there are no eggs left. If the basket holds up to 100 eggs, how many eggs does she have? She has eggs.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter7: Percents
Section: Chapter Questions
Problem 18PTTS
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A woman with a basket of eggs finds that if she removes the eggs from the basket 5 or 11 at a time, there is always 1 egg left. However, if she removes the eggs 8 at a time, there are no eggs left. If the basket holds up to 100 eggs, how many eggs does she have? She has eggs.
Transcribed Image Text:A woman with a basket of eggs finds that if she removes the eggs from the basket 5 or 11 at a time, there is always 1 egg left. However, if she removes the eggs 8 at a time, there are no eggs left. If the basket holds up to 100 eggs, how many eggs does she have? She has eggs.
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Step 1

Euclid division lemma states that if a, b, q and r are set of integers then  

a=b q +r, where 0≤r<1.

 

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