Answer:
200kg
Explanation:
Let's assume x represents the amount of coffee that sells for $7.20/kg, and y represents the amount of coffee that sells for $4.80/kg.
We have two equations based on the given information:
Equation 1: x + y = 600 (total weight of coffee)
Equation 2: (7.20x + 4.80y) / 600 = 5.60 (average price per kilogram)
To solve this system of equations using elimination, we can multiply equation 1 by 4.80 and equation 2 by 600 to eliminate the decimals.
4.80 * (x + y) = 4.80 * 600
7.20x + 4.80y = 5.60 * 600
Simplifying:
4.80x + 4.80y = 2880
7.20x + 4.80y = 3360
Now, subtract equation 1 from equation 2:
(7.20x + 4.80y) - (4.80x + 4.80y) = 3360 - 2880
7.20x - 4.80x = 480
2.40x = 480
x = 480 / 2.40
x = 200
Substituting x = 200 into equation 1:
200 + y = 600
y = 600 - 200
y = 400
Therefore, 200 kg of coffee that sells for $7.20/kg and 400 kg of coffee that sells for $4.80/kg were used to make the 600 kg of coffee that sells for $5.60/kg.
Hope This Helps!