Question

A supermarket customer has paid a total of 240 for 16 liters of milk, 4 kg of hamon serrano, and 8 liters of olive oil. Knowing that 1 liter of oil costs three times the price of 1 liter of milk, and 1 kg of ham costs the same as the customer would have to pay if he had bought 5 liters of milk, 1 kg of serrano ham, and 3 liters of olive oil.

A) How much does 1 liter of milk cost?
B) What is the cost of 1 kg of hamon serrano?

Answer 1

To solve this problem, assign variables to the unknowns and set up a system of equations. Then solve the system to find the values of x and y.

Step-by-step explanation:

To solve this problem, let's assign variables to the unknowns:

Let the cost of 1 liter of milk be 'x', the cost of 1 kg of hamon serrano be 'y', and the cost of 1 liter of olive oil be 'z'.

We are given the following information:

• 16 liters of milk + 4 kg of hamon serrano + 8 liters of olive oil = $240
• 1 liter of oil costs 3 times the price of 1 liter of milk, so z = 3x
• 1 kg of ham costs the same as the customer would have to pay if he had bought 5 liters of milk + 1 kg of serrano ham + 3 liters of olive oil, so y = 5x + 3z

We can now set up a system of equations:

16x + 4y + 8z = 240

z = 3x

y = 5x + 3z