Math Problem Statement
Multiple Choice Question Fiona made a wall hanging with pockets for holding the classroom calculators. Each pocket is 3 1/4 inches wide, and the pockets are separated by 1/4 inch with a 1/4 -inch border around the outside. One row of pockets holds 4 calculators, as shown below. What is the total number of inches across each row?
Solution
Let's break this problem down step by step.
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Each pocket is 3 1/4 inches wide. In fractional terms, this is:
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There are 4 pockets in a row. So, the total width of just the pockets is:
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The pockets are separated by 1/4 inch. Since there are 4 pockets, there are 3 spaces between them. So, the total space between the pockets is:
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There is also a 1/4-inch border on each side. The total width of the borders is:
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Now, sum everything together to get the total width across the row:
So, the total number of inches across each row is 14 1/4 inches.
Would you like further clarification on any step or more details?
Here are some related questions for practice:
- How many inches would a row of 5 pockets take with the same dimensions?
- What if each pocket was 4 inches wide instead of 3 1/4 inches?
- How would the total width change if there was no border?
- What is the total width if the spaces between pockets were 1/2 inch instead of 1/4 inch?
- How many rows of 4 pockets would fit in a space that is 60 inches wide?
Tip: When calculating total width, always account for both pockets and the spaces between them, as well as any borders.
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Math Problem Analysis
Mathematical Concepts
Measurement
Fractions
Addition of mixed numbers
Formulas
Total width = (Number of pockets × Pocket width) + (Number of spaces × Space width) + (2 × Border width)
Theorems
Addition of fractions and mixed numbers
Suitable Grade Level
Grade 5-6
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