Daily Math Puzzle: 2026-06-30
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2026-06-30
The legendary Heartstone of Eldoria pulsed with immense power, initially at 100%. The mighty warrior Grog first tapped into it, consuming 1/5 of its *original* power for his devastating blow. Next, the cunning sorceress Lyra drew upon its *remaining* energy, reducing it by 25% for a potent spell. Finally, the swift rogue Finn, needing a burst of speed, siphoned off 1/3 of the *power still left* in the Heartstone. What fraction of the Heartstone's *original* power remains after all three adventurers have taken their share?
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Solution
2/5 — Let the original power of the Heartstone be P.
1. **After Grog's use:** Grog consumes 1/5 of the *original* power. So, 1/5 P is used.
Power remaining = P - (1/5)P = (4/5)P.
2. **After Lyra's use:** Lyra reduces the *remaining* energy by 25%. This means 75% of the current power remains.
Power remaining after Lyra = (4/5)P * (1 - 0.25) = (4/5)P * (0.75) = (4/5)P * (3/4) = (12/20)P = (3/5)P.
3. **After Finn's use:** Finn siphons off 1/3 of the *power still left* (which is 3/5 P). This means 2/3 of that power remains.
Power remaining after Finn = (3/5)P * (1 - 1/3) = (3/5)P * (2/3) = (6/15)P = (2/5)P.
Therefore, 2/5 of the Heartstone's original power remains.
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