A woman buys 4 bags of

Question

rice for ₦56 per bag and 3 bags of beans for ₦26 per bag using the currency “NAIRA” (₦) in base 7. What
is the total cost of the items in another currency
“ANTI” (₳) in base 8?

Answer 1

converting to base10
... rice ... 56b7 = (5 * 7) + (6 * 1) = 41b10 ... 4 bags are 164b10
... beans ... 26b7 = (2 * 7) + (6 * 1) = 20b10 ... 3 bags are 60b10
... total cost ... 224b10

converting to base 8 ... 111b8 = 64 + 8 + 1 = 73b10
... 224b10 = (3 * 64) + (4 * 8) = 340b8