Adeline always brings her own shopping bags to buy fruits. A bag with 26 lemons in it has a mass of 2.67 kg. The same bag with 8 lemons in it has a mass of 1.05 kg. Find the mass of the bag when it is empty in grams.
Question
Adeline always brings her own shopping bags to buy fruits. A bag with 26 lemons in it has a mass of 2.67 kg. The same bag with 8 lemons in it has a mass of 1.05 kg. Find the mass of the bag when it is empty in grams.
Solution
Sure, here's how to solve the problem:
Step 1: First, we need to find the mass of a single lemon. We can do this by subtracting the mass of the bag with 8 lemons from the mass of the bag with 26 lemons. This gives us the mass of 18 lemons.
2.67 kg - 1.05 kg = 1.62 kg
This is the mass of 18 lemons.
Step 2: Now, we can find the mass of a single lemon by dividing the mass of 18 lemons by 18.
1.62 kg / 18 = 0.09 kg
This is the mass of a single lemon.
Step 3: Now, we can find the mass of the bag when it is empty. We do this by subtracting the mass of 8 lemons from the total mass of the bag with 8 lemons.
1.05 kg - (8 * 0.09 kg) = 0.33 kg
So, the mass of the bag when it is empty is 0.33 kg.
Step 4: Finally, we convert this mass from kilograms to grams. We do this by multiplying by 1000 (since there are 1000 grams in a kilogram).
0.33 kg * 1000 = 330 g
So, the mass of the bag when it is empty is 330 grams.
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