If 3.5 Yards Of Material Cost $16.80, What Is The Price Of One Yard Of The Material?
Understanding the Problem
In this problem, we are given the cost of 3.5 yards of material, which is $16.80. We need to find the price of one yard of the material. This is a classic problem of unit conversion, where we need to convert the cost from 3.5 yards to 1 yard.
Step 1: Understand the Given Information
- The cost of 3.5 yards of material is $16.80.
- We need to find the price of one yard of the material.
Step 2: Convert the Cost to One Yard
To find the price of one yard of the material, we need to divide the cost of 3.5 yards by 3.5. This will give us the cost of one yard.
Mathematical Formula
The formula to find the cost of one yard is:
Cost of one yard = Cost of 3.5 yards / 3.5
Calculation
Now, let's calculate the cost of one yard:
Cost of one yard = $16.80 / 3.5 = $4.80
Conclusion
Therefore, the price of one yard of the material is $4.80.
Real-World Applications
This problem has many real-world applications, such as:
- Shopping: When shopping for fabric, you need to know the price of one yard to calculate the total cost of the fabric.
- Construction: In construction, you need to know the price of one yard of material to calculate the total cost of the materials needed for a project.
- Business: In business, you need to know the price of one yard of material to calculate the total cost of goods sold and to determine the profit margin.
Tips and Tricks
Here are some tips and tricks to help you solve this problem:
- Use a calculator: To make the calculation easier, use a calculator to divide the cost of 3.5 yards by 3.5.
- Check your units: Make sure that your units are consistent. In this case, we are converting from 3.5 yards to 1 yard.
- Use a formula: Use a formula to find the cost of one yard. In this case, the formula is: Cost of one yard = Cost of 3.5 yards / 3.5.
Common Mistakes
Here are some common mistakes to avoid when solving this problem:
- Not checking units: Make sure that your units are consistent. In this case, we are converting from 3.5 yards to 1 yard.
- Not using a formula: Use a formula to find the cost of one yard. In this case, the formula is: Cost of one yard = Cost of 3.5 yards / 3.5.
- Not checking the calculation: Make sure that your calculation is correct. In this case, we divided the cost of 3.5 yards by 3.5 to find the cost of one yard.
Conclusion
Q: What is the problem asking for?
A: The problem is asking for the price of one yard of material, given that 3.5 yards of material cost $16.80.
Q: How do I solve this problem?
A: To solve this problem, you need to divide the cost of 3.5 yards by 3.5 to find the cost of one yard.
Q: What is the formula to find the cost of one yard?
A: The formula to find the cost of one yard is:
Cost of one yard = Cost of 3.5 yards / 3.5
Q: How do I calculate the cost of one yard?
A: To calculate the cost of one yard, you need to divide the cost of 3.5 yards by 3.5. For example, if the cost of 3.5 yards is $16.80, you would divide $16.80 by 3.5 to get the cost of one yard.
Q: What is the cost of one yard if 3.5 yards cost $16.80?
A: The cost of one yard is $4.80.
Q: What are some real-world applications of this problem?
A: Some real-world applications of this problem include:
- Shopping: When shopping for fabric, you need to know the price of one yard to calculate the total cost of the fabric.
- Construction: In construction, you need to know the price of one yard of material to calculate the total cost of the materials needed for a project.
- Business: In business, you need to know the price of one yard of material to calculate the total cost of goods sold and to determine the profit margin.
Q: What are some tips and tricks to help me solve this problem?
A: Here are some tips and tricks to help you solve this problem:
- Use a calculator: To make the calculation easier, use a calculator to divide the cost of 3.5 yards by 3.5.
- Check your units: Make sure that your units are consistent. In this case, we are converting from 3.5 yards to 1 yard.
- Use a formula: Use a formula to find the cost of one yard. In this case, the formula is: Cost of one yard = Cost of 3.5 yards / 3.5.
Q: What are some common mistakes to avoid when solving this problem?
A: Here are some common mistakes to avoid when solving this problem:
- Not checking units: Make sure that your units are consistent. In this case, we are converting from 3.5 yards to 1 yard.
- Not using a formula: Use a formula to find the cost of one yard. In this case, the formula is: Cost of one yard = Cost of 3.5 yards / 3.5.
- Not checking the calculation: Make sure that your calculation is correct. In this case, we divided the cost of 3.5 yards by 3.5 to find the cost of one yard.
Q: Can I use this problem in real-world situations?
A: Yes, you can use this problem in real-world situations, such as shopping, construction, and business. This problem is a classic example of unit conversion, where you need to convert the cost from 3.5 yards to 1 yard.
Q: How do I apply this problem to my everyday life?
A: To apply this problem to your everyday life, you need to think about situations where you need to convert units, such as:
- Shopping: When shopping for fabric, you need to know the price of one yard to calculate the total cost of the fabric.
- Construction: In construction, you need to know the price of one yard of material to calculate the total cost of the materials needed for a project.
- Business: In business, you need to know the price of one yard of material to calculate the total cost of goods sold and to determine the profit margin.
Conclusion
In conclusion, the price of one yard of the material is $4.80. This problem has many real-world applications, such as shopping, construction, and business. To solve this problem, use a calculator, check your units, and use a formula. Avoid common mistakes, such as not checking units, not using a formula, and not checking the calculation.