Daily Math Puzzle: 2026-06-25
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2026-06-25
In the mystical realm of Eldoria, the legendary 'Heartstone' artifact pulses with magical energy. Each sunrise, it fully regenerates, increasing its energy by 20% of its *current* level. However, a creeping shadow blight drains 1/4 of the energy it *possessed after regeneration* each sunset. If the Heartstone begins a new week with exactly 100 units of magical energy, what percentage of its *original* energy will it have after two full days and nights of these cycles?
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Solution
81% — Let the initial energy of the Heartstone be 100 units.
After Day 1:
1. **Sunrise Regeneration:** The energy increases by 20% of its current level. So, 100 units * (1 + 0.20) = 100 * 1.20 = 120 units.
2. **Sunset Drain:** A shadow blight drains 1/4 of the energy it possessed *after regeneration*. So, 120 units * (1 - 1/4) = 120 * (3/4) = 90 units.
At the end of Day 1, the Heartstone has 90 units of energy.
After Day 2:
1. **Sunrise Regeneration:** Starting with 90 units, it increases by 20%. So, 90 units * (1 + 0.20) = 90 * 1.20 = 108 units.
2. **Sunset Drain:** Drains 1/4 of the energy after regeneration. So, 108 units * (1 - 1/4) = 108 * (3/4) = 81 units.
At the end of Day 2, the Heartstone has 81 units of energy.
To find the percentage of its original energy: (81 units / 100 original units) * 100% = 81%.
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