Question

In 16th century Spain 1 Duca was worth the same as 10 Luchini. 5 Luchini had the same value as 1 Bombo, which in turn corresponded to 25 Galettes.

Having 4 Ducas and 6 Bombos at your disposal, how much change would you get in Luchini if you bought an item that costs 48 Luchini?
a. 18
b. 22
c. 26
d. 14

Answer 1

To find the change in Luchini, convert the 4 Ducas and 6 Bombos to Luchini, add them together, and subtract the cost of the item. After conversions and calculations, the correct change that will be received is 22 Luchini.

Step-by-step explanation:

The subject of this question is mathematics, specifically conversion and arithmetic operations within a hypothetical historical currency system. To solve the problem, we need to first convert the amounts the individual has into Luchini, and then subtract the cost of the item from this total to determine the change in Luchini.

First, let's convert the given currency into Luchini:

• 4 Ducas = 4 x 10 Luchini = 40 Luchini
• Because 5 Luchini = 1 Bombo, it follows that 1 Bombo = 25 Galettes. Since 6 Bombos are available:
• 6 Bombos = 6 x 5 Luchini = 30 Luchini

Adding the total Luchini from Ducas and Bombos:

40 Luchini + 30 Luchini = 70 Luchini

Next, we subtract the cost of the item from the total Luchini:

70 Luchini - 48 Luchini = 22 Luchini

Therefore, the change the individual would receive after buying an item that costs 48 Luchini is 22 Luchini. Hence, the answer is option (b) 22.