The total weight of 15 bags is 45 pounds, how much do 7 bags weigh?
Understand the Problem
The question is asking to determine the weight of 7 bags based on the total weight of 15 bags. We can calculate the weight of one bag first by dividing the total weight by the number of bags, and then multiply that by 7 to find the weight of 7 bags.
Answer
The weight of 7 bags is \(\frac{\text{Total weight of 15 bags} \times 7}{15}\).
Answer for screen readers
The weight of 7 bags is given by the formula: [ \text{Weight of 7 bags} = \frac{\text{Total weight of 15 bags} \times 7}{15} ]
Steps to Solve
- Calculate the weight of one bag
To find the weight of one bag, we divide the total weight of the 15 bags by the number of bags: [ \text{Weight of one bag} = \frac{\text{Total weight of 15 bags}}{15} ]
- Calculate the total weight of 7 bags
Once we have the weight of one bag, we can find the weight of 7 bags by multiplying the weight of one bag by 7: [ \text{Weight of 7 bags} = \text{Weight of one bag} \times 7 ]
The weight of 7 bags is given by the formula: [ \text{Weight of 7 bags} = \frac{\text{Total weight of 15 bags} \times 7}{15} ]
More Information
This problem can help demonstrate the concept of unit rates and ratios. By understanding how to break down total weights into manageable parts (like the weight of one bag), one can solve similar problems easily. Additionally, this approach can be applied in many real-world situations, such as determining costs, quantities, and other comparative measures.
Tips
- Failing to correctly divide the total weight by the number of bags before multiplying for the weight of 7 bags.
- Confusing the operation needed, such as adding instead of multiplying.
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