Math Problem Statement
Solution
Let's break down and solve each part of this problem step by step.
1.
We need to first find , then divide 72 by that value.
2.
Similarly, we will find , and divide 23 by the result.
3.
Again, we calculate , then divide 115 by the square root.
4. Solve the problem:
Audrey sold 122.5 kg of scrap fabrics. Each pack weighs about 5 kg.
To find how many packs Audrey sold, we divide .
I’ll compute these now.Here are the results for each problem:
- Audrey sold packs of scrap fabrics.
Would you like further details or explanations on any of these calculations?
Here are five related questions to think about:
- What is the general formula for dividing by a square root?
- How can you estimate square roots without a calculator?
- What happens if the weights of each pack vary slightly?
- Can you solve the same problem with different units (e.g., pounds instead of kilograms)?
- How can this method be applied to other real-life problems involving division?
Tip: Always double-check your square root calculations when dividing by them to avoid small rounding errors.
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Math Problem Analysis
Mathematical Concepts
Division
Square Roots
Word Problems
Arithmetic
Formulas
Quotient = Dividend ÷ √Divisor
Total Packs = Total Weight ÷ Weight per Pack
Theorems
Properties of Square Roots
Division Rules
Suitable Grade Level
Grades 6-8