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24 Jan 2025, 09:19
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m: 55
b: 90
An investor has two cryptocurrency wallets, Main and Backup. The Main wallet holds \(m\%\) of its maximum capacity, while the Backup wallet holds \(b\%\) of its maximum capacity. Both wallets have identical maximum capacities.
Due to new regulations, the investor must optimize storage by transferring tokens from the Backup wallet to the Main wallet until the Main wallet reaches its maximum capacity. After this transfer, the Backup wallet contains exactly half of its previous percentage.
If the Backup wallet initially held a higher percentage than the Main wallet, select for m the possible value of \(m\), and select for b the possible value of \(b\) that would be jointly consistent with the given information. Make only two selections, one in each column.
Due to new regulations, the investor must optimize storage by transferring tokens from the Backup wallet to the Main wallet until the Main wallet reaches its maximum capacity. After this transfer, the Backup wallet contains exactly half of its previous percentage.
If the Backup wallet initially held a higher percentage than the Main wallet, select for m the possible value of \(m\), and select for b the possible value of \(b\) that would be jointly consistent with the given information. Make only two selections, one in each column.
| m | b | |
| 30 | ||
| 45 | ||
| 50 | ||
| 55 | ||
| 60 | ||
| 90 |
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Official Answer
m: 55
b: 90
24 Jan 2025, 09:19
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Official Solution:
The amount transferred from the Backup wallet to the Main wallet must equal \((100 - m)\).
This transfer from the Backup wallet was \(\frac{b}{2}\).
Therefore:
\(\frac{b}{2} = 100 - m\).
Simplifying: \(b + 2m = 200\)
Only \(b = 90\) and \(m = 55\) satisfy this equation.
Correct answer:
m "55"
b "90"
Bunuel
The amount transferred from the Backup wallet to the Main wallet must equal \((100 - m)\).
This transfer from the Backup wallet was \(\frac{b}{2}\).
Therefore:
\(\frac{b}{2} = 100 - m\).
Simplifying: \(b + 2m = 200\)
Only \(b = 90\) and \(m = 55\) satisfy this equation.
Correct answer:
m "55"
b "90"
11 May 2025, 01:41
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Why I need to subtract from 100
