Math Problem Statement
You want to hang three posters on your bedroom wall. You’ve decided to have 3 feet of space between your end posters and the corners of your room. If your bedroom wall is 15 feet wide and each poster is 2 feet wide, how much space will you need between the posters?
Solution
Let's break down the problem step by step:
- You have a bedroom wall that is 15 feet wide.
- There are three posters to hang, and each poster is 2 feet wide.
- You want 3 feet of space between each end of the wall and the first/last poster.
Goal: Find out how much space is needed between the posters.
Step-by-step calculation:
- Total width of the wall = 15 feet.
- Width of the two end spaces = 3 feet each, so .
- Total width of the three posters = .
- Remaining space for gaps between posters:
- Since there are two gaps between the three posters, the space between the posters is:
Final Answer: You will need 1.5 feet of space between the posters.
Would you like more details or have any other questions?
Here are 5 related questions to expand on this:
- How would the space between posters change if the posters were larger?
- What if you wanted 4 posters instead of 3? How would you find the new gap size?
- How would this change if the wall were 20 feet wide?
- If the gap between posters were fixed at 2 feet, how would you determine the wall size required?
- What if the posters were different sizes? How would you adjust the spacing?
Tip: When calculating spacing, always account for the fixed spaces (like wall edges or gaps) before distributing the remaining space evenly.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Basic Arithmetic
Formulas
Remaining space = Total width - (Width of end spaces + Width of posters)
Space between posters = Remaining space / Number of gaps
Theorems
-
Suitable Grade Level
Grades 6-8