Answer :
Final answer:
The minimum number of packets to store the oil without mixing is 13.
Explanation:
To find the minimum number of packets to store the oil without mixing, we need to determine the greatest common divisor (GCD) of the weights of the three kinds of oil. In this case, the weights are 28 kg, 70 kg, and 84 kg.
The GCD of 28 kg, 70 kg, and 84 kg is 14 kg.
Therefore, the minimum number of packets required to store the oil without mixing is the total weight of the three kinds of oil divided by the GCD: (28 kg + 70 kg + 84 kg) / 14 kg = 182 kg / 14 kg = 13 packets.
