Subjects algebra

Soap Water

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1. **State the problem:** A woman uses 1 pint of nut oil to 8 pints of water. She increases the quantity by 50%. We need to find how many pints of water she will use now. 2. **Understand the ratio:** The original ratio of nut oil to water is $1:8$. 3. **Increase the quantity by 50%:** Increasing the nut oil quantity by 50% means multiplying by $1 + 0.50 = 1.5$. 4. **Calculate the new amount of nut oil:** $$\text{New nut oil} = 1 \times 1.5 = 1.5 \text{ pints}$$ 5. **Maintain the same ratio:** Since the ratio of nut oil to water is constant at $1:8$, for every 1 pint of nut oil, there are 8 pints of water. 6. **Calculate the new amount of water:** $$\text{New water} = 1.5 \times 8 = 12 \text{ pints}$$ **Final answer:** The woman will now use 12 pints of water.