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A bag contains 45 kg 80 g of sugar and t...

A bag contains 45 kg 80 g of sugar and the mass of the empty bag is 950 g. What is the mass of the bag containing this much of sugar?

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To find the total mass of the bag containing the sugar, we need to add the mass of the sugar to the mass of the empty bag. Let's break it down step by step. ### Step 1: Convert the mass of sugar to grams The mass of sugar is given as 45 kg and 80 g. We need to convert 45 kg to grams. 1 kg = 1000 g, so: \[ 45 \text{ kg} = 45 \times 1000 \text{ g} = 45000 \text{ g} \] Now, add the 80 g: \[ 45000 \text{ g} + 80 \text{ g} = 45080 \text{ g} \] ### Step 2: Add the mass of the empty bag The mass of the empty bag is given as 950 g. Now we will add this to the total mass of the sugar. \[ 45080 \text{ g} + 950 \text{ g} = 46030 \text{ g} \] ### Step 3: Convert the total mass back to kg and g (if needed) To express the total mass in kg and g, we can convert 46030 g back to kg. 1 kg = 1000 g, so: \[ 46030 \text{ g} = 46 \text{ kg} + 30 \text{ g} \] ### Final Answer The mass of the bag containing the sugar is **46 kg 30 g**. ---
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