1. **State the problem:** We need to find the percentage of salt by mass in a mixture made by combining 1.18 lb of salt and 3.96 lb of water.
2. **Formula:** The percentage of salt by mass is given by:
$$\text{Percentage of salt} = \left(\frac{\text{mass of salt}}{\text{total mass of mixture}}\right) \times 100$$
3. **Calculate total mass:**
$$\text{total mass} = 1.18 + 3.96 = 5.14 \text{ lb}$$
4. **Calculate percentage:**
$$\text{Percentage of salt} = \left(\frac{1.18}{5.14}\right) \times 100$$
5. **Simplify the fraction:**
$$\frac{1.18}{5.14} = \frac{\cancel{1.18}}{\cancel{5.14}} \approx 0.2294$$
6. **Multiply by 100:**
$$0.2294 \times 100 = 22.94\%$$
**Final answer:** The percentage of salt by mass in the mixture is **22.94%**.
Salt Percentage 33824B
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.