Answer :
Final answer:
To create a 40kg mixture worth $253.50 per kilo, mix 10 kilos of Barako coffee ($250/kg) with 30 kilos of Arabica coffee ($150/kg) by solving the system of equations derived from the cost and weight of each coffee type.
Explanation:
Calculating Mixture Ratios for Coffee Blends
To determine how many kilos of Barako and Arabica coffee should be mixed to obtain 40kg of a mixture worth $253.50 per kilo, we can set up a system of equations based on the cost of each type of coffee and the desired final mixture.
Let x be the kilos of Barako coffee and y be the kilos of Arabica coffee. We have two equations:
- x + y = 40 (The total weight of the mixture is 40kg)
250x + 150y = 40 * 253.50 (The total cost of the mixture is equal to the weight times the cost per kilo)
Solving these equations, we get:
- The kilos of Barako coffee (x): 10 kg
- The kilos of Arabica coffee (y): 30 kg
Therefore, to create a 40kg coffee mixture worth $253.50 per kilo, you should mix 10 kilos of Barako coffee with 30 kilos of Arabica coffee.
