Question
How much heavier is a bag of coins with a mass of 380 grams than a bag of rice weighing 3 500 decigrams?
Answers
GPT-4o mini
To compare the weights of the two bags, we first need to convert the mass of the bag of rice (which is in decigrams) into grams.
1 decigram (dg) is equal to 0.1 grams (g). Therefore, to convert 3,500 decigrams to grams:
\[
3500 \, \text{dg} \times 0.1 \, \text{g/dg} = 350 \, \text{g}
\]
Now that we have both bags in grams:
- Mass of the bag of coins = 380 grams
- Mass of the bag of rice = 350 grams
Next, we find the difference in mass between the two bags:
\[
\text{Difference} = \text{Mass of bag of coins} - \text{Mass of bag of rice} \\
\text{Difference} = 380 \, \text{g} - 350 \, \text{g} = 30 \, \text{g}
\]
Thus, the bag of coins is **30 grams heavier** than the bag of rice.
1 decigram (dg) is equal to 0.1 grams (g). Therefore, to convert 3,500 decigrams to grams:
\[
3500 \, \text{dg} \times 0.1 \, \text{g/dg} = 350 \, \text{g}
\]
Now that we have both bags in grams:
- Mass of the bag of coins = 380 grams
- Mass of the bag of rice = 350 grams
Next, we find the difference in mass between the two bags:
\[
\text{Difference} = \text{Mass of bag of coins} - \text{Mass of bag of rice} \\
\text{Difference} = 380 \, \text{g} - 350 \, \text{g} = 30 \, \text{g}
\]
Thus, the bag of coins is **30 grams heavier** than the bag of rice.