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Only 3 ships dock on a remote port. One ship docks every other 8 days, the second ship every 10 days, and the last ship every other 15 days. Each ship leaves the port on the same day it arrives. If three ships were present on January 1, how many days of the year (365 days) is the port empty?

Only 3 ships dock on a remote port. One ship docks every other 8 days, the second ship every 10 days, and the last ship every other 15 days. Each ship leaves the port on the same day it arrives. If three ships were present on January 1, how many days of the year (365 days) is the port empty?

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter43: Introduction To Equations
Section: Chapter Questions
Problem 16A: Express each ofthe word problems in Exercises 7 through 19 as equations. Let the unknown number...
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2. Only 3 ships dock on a remote port. One ship docks every other 8 days, the second ship every 10 days, and the last ship every other 15 days. Each ship leaves the port on the same day it arrives. If three ships were present on January 1, how many days of the year (365 days) is the port empty?
Transcribed Image Text:2. Only 3 ships dock on a remote port. One ship docks every other 8 days, the second ship every 10 days, and the last ship every other 15 days. Each ship leaves the port on the same day it arrives. If three ships were present on January 1, how many days of the year (365 days) is the port empty?
INSTRUCTIONS: Solve each problem thoroughly by applying Polya's four-step approach to problem solving. Show a complete solution to earn all the credit points. Write clearn and neat solutions using white bond paper and a clear writing pen (not pencil). Use separate sheets for each of the problems. In each solution, LABEL EACH STEP you applied, with reference to Polya's method. If needed, explore inductively, then reason deductively as much as possible. Some of the tasks may need more time to think about compared to others. Make sure you spend enough time on each one. Write down significant attempts at solving the task, conjectures (if any), explanations, observations, realizations, questions, etc.
Transcribed Image Text:INSTRUCTIONS: Solve each problem thoroughly by applying Polya's four-step approach to problem solving. Show a complete solution to earn all the credit points. Write clearn and neat solutions using white bond paper and a clear writing pen (not pencil). Use separate sheets for each of the problems. In each solution, LABEL EACH STEP you applied, with reference to Polya's method. If needed, explore inductively, then reason deductively as much as possible. Some of the tasks may need more time to think about compared to others. Make sure you spend enough time on each one. Write down significant attempts at solving the task, conjectures (if any), explanations, observations, realizations, questions, etc.
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