Daily Math Puzzle: 2026-09-06
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2026-09-06
Chef Julian is preparing his signature 'Sunrise Sourdough' dough. He starts with a base dough ball of 400 grams. First, he kneads in some aromatic herbs, which increases the dough's total weight by 15%. Next, he carefully folds in a special enrichment mixture that is precisely 1/5 of the *original* dough ball's weight. Finally, during a crucial slow rise, 10% of the *total current weight* of the dough evaporates due to moisture loss. What is the final weight of the prepared dough, expressed as a percentage of its *original* dough ball weight?
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Solution
121.5% — Let the original dough ball weight be 400 grams.
1. **After kneading in herbs:** The weight increases by 15%.
New weight = 400g + (0.15 * 400g) = 400g + 60g = 460g.
2. **After folding in enrichment mixture:** The mixture is 1/5 of the *original* dough ball's weight.
Enrichment weight = (1/5) * 400g = 80g.
Current total weight = 460g + 80g = 540g.
3. **After moisture loss during rise:** 10% of the *total current weight* evaporates.
Weight loss = 0.10 * 540g = 54g.
Final weight = 540g - 54g = 486g.
To express the final weight as a percentage of the original dough ball weight:
(Final Weight / Original Weight) * 100% = (486g / 400g) * 100% = 1.215 * 100% = 121.5%.
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