Subjects algebra

Rice Sharing

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **State the problem:** Hannah and Fatu shared a 50kg sack of rice in the ratio 14:11. We need to find how much rice Hannah got. 2. **Understand the ratio:** The ratio 14:11 means for every 14 parts Hannah gets, Fatu gets 11 parts. 3. **Total parts:** Add the parts of the ratio: $14 + 11 = 25$ parts in total. 4. **Find the weight of one part:** Since the total weight is 50kg, one part weighs $\frac{50}{25} = 2$ kg. 5. **Calculate Hannah's share:** Hannah's share is $14$ parts, so $14 \times 2 = 28$ kg. **Final answer:** Hannah got 28 kg of rice.