Question

When cleaning out your toolshed, you found two bags of one-inch nails. The weights of these bags were 6 hectograms and 2 kilograms, 5 hectograms, 6 hectograms, and finally 4 kilograms and 4 hectograms. How much did these bags weigh in all? Give a decimal answer in kilograms.

Answer 1

To find the total weight in kilograms of the nail bags, convert each weight to kilograms and add them together. The combined weight of all bags is 8.1 kg.

Step-by-step explanation:

We need to first convert all the weights into the same unit, which is kilograms in this scenario. Remember that 1 hectogram (hg) equals 0.1 kilograms (kg).

The weights of the bags in kg are:

- 6 hectograms = 0.6 kg

- 2 kilograms + 5 hectograms = 2.5 kg

- 6 hectograms = 0.6 kg

- 4 kilograms + 4 hectograms = 4.4 kg

Now, we add all these values together to find the total weight.

0.6 kg

+ 2.5 kg

+ 0.6 kg

+ 4.4 kg

The sum is 8.1 kg.

Answer 2

The total weight of the bags is 8.1 kilograms.

The total weight of the bags, let's add up the weights in kilograms.

1 hectogram = 0.1 kilograms

So, the weights in kilograms are as follows:

1. 6 hectograms = 6 x 0.1 kilograms = 0.6 kilograms
2. 2 kilograms, 5 hectograms = 2 kilograms + 5 x 0.1 kilograms = 2 kilograms + 0.5 kilograms = 2.5 kilograms
3. 6 hectograms = 6 x 0.1 kilograms = 0.6 kilograms
4. 4 kilograms, 4 hectograms = 4 kilograms + 4 x 0.1 kilograms = 4 kilograms + 0.4 kilograms = 4.4 kilograms

Now, add these weights:

0.6 kilograms + 2.5 kilograms + 0.6 kilograms + 4.4 kilograms = 8.1 kilograms

Therefore, the total weight of the bags is 8.1 kilograms.