jmc

Question

Captain Rusczyk tracked down a pirate who had stolen 2345_6 dollars worth of goods from his ship. After winning an epic duel, the Captain demands that the pirate return 41324_5 dollars. How much has the pirate gone in debt due to his two encounters with Rusczyk? Express your answer in base 10.

Accepted Answer

We wish to solve for 41324_5-2345_6. 2345_6 = 56^0+46^1+36^2+26^3 = 5+24+108+432 = 569_10 41324_5 = 45^0+25^1+35^2+15^3+45^4 = 4+10+75+125+2500 = 2714_10 So, the pirate is now 2714-569= 2145 dollars in debt.