Problem

Six items purchased at a grocery store weigh 17 kilograms. One of the items is detergent weighing 851 grams. What is the total weight, in kilograms, of the other five items?
The total weight of the other 5 items is $\square \mathrm{kg}$.

Answer

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Answer

Final Answer: \(\boxed{16.149}\) kilograms is the total weight of the other five items.

Steps

Step 1 :Given that the total weight of the six items is 17 kilograms and the weight of the detergent is 851 grams.

Step 2 :First, we need to convert the weight of the detergent from grams to kilograms. We know that 1 kilogram equals 1000 grams, so we divide 851 by 1000 to get 0.851 kilograms.

Step 3 :Next, we subtract the weight of the detergent in kilograms from the total weight to find the weight of the other five items. So, we subtract 0.851 from 17 to get 16.149 kilograms.

Step 4 :\(\text{total weight in kg} = 17\)

Step 5 :\(\text{detergent weight in g} = 851\)

Step 6 :\(\text{detergent weight in kg} = \frac{851}{1000} = 0.851\text{ kg}\)

Step 7 :\(\text{weight of other items in kg} = 17 - 0.851 = 16.149\text{ kg}\)

Step 8 :Final Answer: \(\boxed{16.149}\) kilograms is the total weight of the other five items.

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