Sharjeel has a wine and water mixture in a 4:1 ratio. After spilling some and replacing it with an equal volume of water, the ratio becomes 3:2. How much water was added?
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Answer: C. 1/4
Explanation
Replacing a portion of the mixture with pure water alters the proportional volumes systematically. Analyzing the fractional shift from the initial four to one ratio confirms the exact displacement. Solving the replacement equation demonstrates that precisely one quarter of the mixture was substituted. Mixture replacement problems involve removing a volume of solution and adding solvent instead. The total volume of the container remains constant throughout the entire liquid replacement process. Ratios describe the relative proportions of solute and solvent present within the liquid container.
Chemistry laboratories use similar volumetric dilution calculations to prepare precise chemical solutions safely. Industrial chemical mixing relies on ratio analysis to maintain consistent product quality standards. Culinary recipes often require proportional adjustments when substituting ingredients in large batches. Option A overestimates the fraction of the mixture that was removed and replaced with water. Option B incorrectly assumes half of the original mixture was drained out and substituted. Option D relies on an incorrect fractional denominator that fails to satisfy the final ratio.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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