Devi always brings her own shopping bags to buy fruits. A bag with 74 oranges in it has a mass of 3.72 kg. The same bag with 41 oranges in it has a mass of 2.07 kg. Find the mass of the bag when it is empty in grams.
Question
Devi always brings her own shopping bags to buy fruits. A bag with 74 oranges in it has a mass of 3.72 kg. The same bag with 41 oranges in it has a mass of 2.07 kg. Find the mass of the bag when it is empty in grams.
Solution
Step 1: First, we need to find the mass of one orange. We can do this by subtracting the mass of the bag with 41 oranges from the mass of the bag with 74 oranges. This will give us the mass of 33 oranges (since 74 - 41 = 33).
So, 3.72 kg - 2.07 kg = 1.65 kg. This is the mass of 33 oranges.
Step 2: Now, we can find the mass of one orange by dividing the mass of 33 oranges by 33.
So, 1.65 kg / 33 = 0.05 kg. This is the mass of one orange.
Step 3: Now, we can find the mass of the bag when it is empty. We can do this by subtracting the mass of 41 oranges from the mass of the bag with 41 oranges.
So, 2.07 kg - (41 * 0.05 kg) = 0.02 kg. This is the mass of the bag when it is empty.
Step 4: Finally, we need to convert this mass from kilograms to grams. We can do this by multiplying by 1000 (since there are 1000 grams in a kilogram).
So, 0.02 kg * 1000 = 20 grams.
Therefore, the mass of the bag when it is empty is 20 grams.
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