A woman buys 4 bags of rice for \(E 56\) per bag and 3 bags of beans for \(\pm 26\) per bag using the currency "LONI" (E) in base 7. What is the total cost of the items in another currency "MONI" \(( M )\) in base 8?
A. M224 B. M114 C. M340 D. M440
Correct Answer: D
Explanation
Total cost \(=323_{7}+114_{7}=440_{7}\) Hence. \(440_{7} \rightarrow\) base 8 \(4 \times 72+4 \times 7+0=224_{10}\) \begin{array}{r|rrr} 8 & 224 & \\ \hline 8 & 28 & r & 0 \\ 8 & 3 & r & 4 \\ 0 & r & 3 \end{array}
