Problem: A classical type of practise problems for the Chinese Remainder Theorem are word problems like this: A farmer’s wife is bringing eggs to market. If she divides them into groups of three, she has one left over. If she divides them into groups of five, she also has one left over. If she divides them into groups of seven, she has four left over. And if she divides them into groups of eleven, she has three left over. How many eggs does she have? Solve this problem by repeated application of the Chinese Remainder Theorem. You must explain how the solution is computed. You may assume that there are fewer than one thousand eggs.
Problem: A classical type of practise problems for the Chinese Remainder Theorem are word problems like this: A farmer’s wife is bringing eggs to market. If she divides them into groups of three, she has one left over. If she divides them into groups of five, she also has one left over. If she divides them into groups of seven, she has four left over. And if she divides them into groups of eleven, she has three left over. How many eggs does she have? Solve this problem by repeated application of the Chinese Remainder Theorem. You must explain how the solution is computed. You may assume that there are fewer than one thousand eggs.
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 5CT: A commuter must travel from Ajax to Barrie and back every day. Four roads join the two cities. The...
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Problem: A classical type of practise problems for the Chinese Remainder Theorem are word problems like this:
A farmer’s wife is bringing eggs to market. If she divides them into groups of three, she has one left over. If she divides them into groups of five, she also has one left over. If she divides them into groups of seven, she has four left over. And if she divides them into groups of eleven, she has three left over. How many eggs does she have?
Solve this problem by repeated application of the Chinese Remainder Theorem. You must explain how the solution is computed. You may assume that there are fewer than one thousand eggs.
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