Module 1- Activity 2 - Developing Problem-Solving Skills

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Northern Virginia Community College *

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154

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Chemistry

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May 12, 2024

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docx

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2

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Module 1: Activity 2 - Developing Problem-Solving Skills Five books of five different colors are placed on a shelf. The orange book is between the gray and pink book, and these three books are consecutive. The gold book is not first on the shelf and the pink book is not last. The brown book is separated from the pink book by two books. If the gold book is not next to the brown book, what is the complete order of the five books? Let's go through the four-step process to solve this problem: Step one: Understand the problem We have five books of different colors: orange, gray, pink, gold, and brown. The orange book is between the gray and pink books, and these three are consecutive. The gold book is not first, and the pink book is not last. The brown book is separated from the pink book by two books. The gold book is not next to the brown book. We need to find the complete order of the five books. Step two: Devise a strategy Let's start by listing the information given Orange is between gray and pink, and these three are consecutive. Gold is not first. Pink is not last. Brown is separated from pink by two books. Gold is not next to brown. We can use this information to create possible sequences and eliminate the ones that violate the given conditions. Step three: Carry out the strategy and revise Let's consider the possible orders: 1.G _ _ _
2._ G _ _ 3._ _ G _ 4._ _ _ G 5.G _ _ _ _ 6._ _ _ _ G Now, let's consider the conditions: Orange is between gray and pink: In sequences 1, 2, and 3, we can have O, G, P, or P, G, O. Gold is not first: So, I eliminated sequence 1. Pink is not last: So, I eliminated sequences 4 and 6. Brown is separated from pink by two books: In sequences 2 and 3, we can have B, O, G, P or P, G, O, B. Gold is not next to brown: So, I eliminated sequence 3. We are left with sequence 2: _ B O G P Step four: Check, interpret, and explain The complete order of the five books is: Brown, Orange, Gray, Pink, and Gold. So, the order is Brown, Orange, Gray, Pink, Gold (B O G P G).
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