Question

joy bag is 3 pound less than gray , gray bag has a mass of 5kilograms how can the mass of joy bag in kilograms be determind 1pound = 0.454 kilograms

Answer 1

To determine the mass of Joy's bag in kilograms based on the information provided, we can follow these steps:

1. **Convert the mass of the gray bag from kilograms to pounds:**
- The mass of the gray bag is 5 kilograms.
- To convert kilograms to pounds, we use the conversion factor \(1 \text{ pound} = 0.454 \text{ kilograms}\), so:
\[
1 \text{ kilogram} = \frac{1}{0.454} \text{ pounds} \approx 2.20462 \text{ pounds}
\]
\[
\text{Mass of gray bag in pounds} = 5 \text{ kg} \times 2.20462 \text{ lbs/kg} \approx 11.0231 \text{ pounds}
\]

2. **Find the mass of Joy's bag in pounds:**
- Joy's bag is 3 pounds less than the gray bag:
\[
\text{Mass of Joy's bag in pounds} = 11.0231 \text{ pounds} - 3 \text{ pounds} = 8.0231 \text{ pounds}
\]

3. **Convert the mass of Joy's bag back to kilograms:**
\[
\text{Mass of Joy's bag in kg} = 8.0231 \text{ pounds} \times 0.454 \text{ kg/pound} \approx 3.64 \text{ kg}
\]

Therefore, the mass of Joy's bag is approximately **3.64 kilograms**.