### Video Transcript

The weights of three containers are in the ratio 14, two, seven. The weight of the second container is 58 kilograms. Calculate the weights of the first and third container.

We are told in the question that the ratio is 14, two, seven. We are also told that the weight of the second container is 58 kilograms. This corresponds to two parts of the ratio. We can therefore calculate the value of one part by dividing by two. 58 divided by two is equal to 29. One part in our ratio is equal to 29 kilograms. We can then calculate the weights of the first and third container by multiplying 14 and seven by 29.

14 multiplied by 29 is 406. Seven multiplied by 29 is 203. The ratio 406, 58, 203 is equivalent to 14, two, seven. We can therefore conclude that container one has a weight of 406 kilograms and container three has a weight of 203 kilograms. The fact that container three is half the weight of container one ties in with the ratios of 14 to seven.