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Wine merchants

Wine merchants

Two wine merchants entered the country carrying 64 and 20 barrels of wine respectively. As they did not have enough money to pay customs duties, the first paid with 5 barrels and 40 Euros, while the second delivered 2 barrels, receiving 40 Euros as exchange.

How much does the customs tax of each barrel cost?

Solution

If we call X at the cost of the barrel e Y at the price of the customs tax, from the statement we can deduce the following system of two equations with two unknowns:

5x + 40 = 64y
2x - 40 = 20y

Solving the system we have that the price of each barrel is € 120 and the Cost of customs duties is € 10.