A woman with a basket of eggs finds that if she removes the eggs from the basket 5 or 11 at a time, there isalways 1 egg left. However, if she removes the eggs 8 at a time, there are no eggs left. If the basket holds up to100 eggs, how many eggs does she have?She haseggs.

Name: A woman with a basket of eggs finds that if she removes the eggs from
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Description: A woman with a basket of eggs finds that if she removes the eggs from the basket 5 or 11 at a time, there isalways 1 egg left. However, if she removes the eggs 8 at a time, there are no eggs left. If the basket holds up to100 eggs, how many eggs doe

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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.

Expert Solution

Step 1

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

a=b q +r, where $0 \leq r < 1$ .

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