Five bags of peanuts have a mass of 1.375kg and two bags of walnuts have a mass of 540 g. Which has a greater mass, one bag of peanuts or one bag of walnuts?
Question
Five bags of peanuts have a mass of 1.375kg and two bags of walnuts have a mass of 540 g. Which has a greater mass, one bag of peanuts or one bag of walnuts?
Solution
First, let's find out the mass of one bag of peanuts:
1.375 kg is the mass of 5 bags of peanuts. To find the mass of one bag, we divide 1.375 kg by 5.
1.375 kg / 5 = 0.275 kg
So, one bag of peanuts has a mass of 0.275 kg.
Next, let's find out the mass of one bag of walnuts:
540 g is the mass of 2 bags of walnuts. To find the mass of one bag, we divide 540 g by 2.
540 g / 2 = 270 g
To compare the mass of the peanuts and the walnuts, we need to convert the mass of the walnuts to kilograms because the mass of the peanuts is given in kilograms.
1 kg = 1000 g, so 270 g = 0.27 kg
So, one bag of walnuts has a mass of 0.27 kg.
Comparing the two, one bag of walnuts (0.27 kg) has a greater mass than one bag of peanuts (0.275 kg).
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