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A garrison of $600$ men has just enough bread to allow $24$ ounces a day to each man for $35$ days; but, with the news that the enemy was planning an attack, the garrison was forced to reinforce to $4 800$ men. The enemy arrives and decides to enforce a siege - to reduce their own loss of life. How many ounces of bread a day must each man in the garrison be allowed, to hold out $45$ days against the siege of the enemy?
If the transport of $60$ cwt. (hundredweights) of bread for $20$ miles costs the garrison $ £14 \; 10\text{s}$. (i.e. Fourteen pounds ten shillings), what weight can be carried $30$ miles for $ £5 \; 8\text{s } 9 \text{d}$?
n.b. in those days:
$12$d(pennies) = $1$s (shilling)
$20$s = $ £1$ (pound)
$16$ ounces = $1$ lb (pound - "weight")
$112$ lb= $1$ cwt
This investigation is about happy numbers in the World of the Octopus where all numbers are written in base 8 .Octi the octopus counts.
This investigation is about happy numbers in the World of the Octopus where all numbers are written in base 8 ... Find all the fixed points and cycles for the happy number sequences in base 8.