Final answer:
To find the mass of the carton alone, subtract the total weight of the juice packets from the total weight of the carton and juice packets combined. The mass of the carton alone is 780g.
Step-by-step explanation:
To find the mass of the carton alone, we need to first subtract the total weight of the juice packets from the total weight of the carton and juice packets combined. Let's denote the mass of the carton as 'm'.
Given that there are 36 packets of fruit juice, each weighing 145g, the total weight of the packets is 36 * 145g = 5220g.
Since the total weight of the carton and juice packets combined is 6kg (which is equal to 6000g), we can set up the equation: m + 5220g = 6000g.
To solve for 'm', we need to isolate it on one side of the equation. We can do this by subtracting 5220g from both sides:
m = 6000g - 5220g = 780g.
Therefore, the mass of the carton alone is 780g.