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A large tract of land is being surveyed and divided into smaller parcels for sale. When parcels of 12 acres are formed, 3 acres are left over. When parcels of 7 acres are formed, 5 acres are left over. When parcels of 25 acres are formed, 9 acres are left over. How many total acres are in the tract if surveyors are sure there are between 1,000 and 3,000 acres? Using the Chinese remainder theorem, determine the solution to your scenario. Show your work.

A large tract of land is being surveyed and divided into smaller parcels for sale. When parcels of 12 acres are formed, 3 acres are left over. When parcels of 7 acres are formed, 5 acres are left over. When parcels of 25 acres are formed, 9 acres are left over. How many total acres are in the tract if surveyors are sure there are between 1,000 and 3,000 acres? Using the Chinese remainder theorem, determine the solution to your scenario. Show your work.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.4: Cicumference And Area Of A Cicle
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A large tract of land is being surveyed and divided into smaller parcels for sale. When parcels of 12 acres are formed, 3 acres are left over. When parcels of 7 acres are formed, 5 acres are left over. When parcels of 25 acres are formed, 9 acres are left over. How many total acres are in the tract if surveyors are sure there are between 1,000 and 3,000 acres? Using the Chinese remainder theorem, determine the solution to your scenario. Show your work.
Transcribed Image Text:A large tract of land is being surveyed and divided into smaller parcels for sale. When parcels of 12 acres are formed, 3 acres are left over. When parcels of 7 acres are formed, 5 acres are left over. When parcels of 25 acres are formed, 9 acres are left over. How many total acres are in the tract if surveyors are sure there are between 1,000 and 3,000 acres? Using the Chinese remainder theorem, determine the solution to your scenario. Show your work.
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