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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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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