D’abord avec deepin
Question:
If swiss cheese contains 100 calories per 30 gr. How many calories exist in a 400 gr of swiss cheese?
Answer:
Okay, let’s see. The user is asking about the calories in Swiss cheese. They mentioned that there are 100 calories per 30 grams, and they want to know how many calories are in 400 grams. Alright, so first, I need to figure out the relationship between the grams and the calories here.
Hmm, so 30 grams equals 100 calories. The goal is to find out how many calories are in 400 grams. I think the way to approach this is by setting up a proportion or maybe calculating the calories per gram first. Let me try that.
If 30 grams is 100 calories, then each gram would have 100 divided by 30 calories. Let me calculate that: 100 divided by 30. Hmm, that’s approximately 3.333… calories per gram. Then, for 400 grams, you multiply 400 by 3.333… So 400 times 3.333… Let me do that math. 400 times 3 is 1200, and 400 times 0.333 is about 133.2. Adding those together gives 1333.2 calories. Wait, but that seems a bit high. Let me check my steps again.
Alternatively, maybe using ratios is better. If 30 grams = 100 calories, then 400 grams would be (400/30) times 100. Let me compute that. 400 divided by 30 is 13.333…, and multiplying by 100 gives 1333.333… calories. So that’s the same result. Okay, that’s consistent. So 1333.33 calories in 400 grams.
But the user might expect a whole number. Let me see if 30 grams into 400 grams is a multiple. 30 times 13 is 390, and 30 times 13.333 is 400. So it’s 13 and 1/3 times the original 30 grams. Therefore, 13.333 times 100 calories is 1333.33 calories. That makes sense. Alternatively, using unit conversion: 400 grams * (100 calories / 30 grams) = (400 * 100)/30 = 40,000/30 ≈ 1333.33 calories.
Wait, but maybe the user wants it in a more simplified fraction. 400 divided by 30 is 40/3, so 40/3 times 100 is 4000/3, which is approximately 1333.33. So the answer should be 1333.33 calories, which can be written as 1333 and 1/3 calories. But maybe the user prefers a decimal rounded to two places, so 1333.33. However, sometimes nutrition labels round numbers, but the problem doesn’t specify that. So the exact value is 1333.333… calories. Depending on how precise the answer needs to be, but since it’s a math problem, probably the exact fraction or the decimal is acceptable.
I should also check if there’s another way to think about it. For example, if 30g is 100 calories, then 10g would be 100/3 ≈ 33.33 calories. Then 400 grams is 40 times 10 grams, so 40 * 33.33 ≈ 1333.33. Same result. So all methods point to 1333.33 calories. Therefore, the answer is 1333.33 calories, or 1333 and 1/3 calories.
I think that’s it. Just need to present the steps clearly so the user can follow the calculation.
Step-by-Step Explanation:
- Determine calories per gram:
Swiss cheese has 100 calories per 30 grams.
Calories per gram = ( \frac{100 \text{ calories}}{30 \text{ grams}} = \frac{10}{3} \approx 3.33 \text{ calories/gram} ). - Multiply by total grams:
For 400 grams:
( 400 \text{ grams} \times \frac{10}{3} \text{ calories/gram} = \frac{4000}{3} \approx 1333.33 \text{ calories} ).
Answer:
A 400-gram portion of Swiss cheese contains 1,333.33 calories (or ( \frac{4000}{3} ) calories).
puis la meme question avec l’IA Gemini
le fromage suisse contient 100 calories par portion de 30 grammes. Combien de calories y-a-t-il dans un morceau de fromage suisse de 400 grammes?
Pour calculer le nombre de calories dans un morceau de fromage suisse de 400 grammes, nous pouvons utiliser une simple proportionnalité :
Calories par gramme : 100 calories / 30 grammes = 30100 calories/gramme
Calories dans 400 grammes : 30100 calories/gramme×400 grammesCalculons cela :
30100×400=30100×400=3040000=34000≈1333.33
Il y a donc environ 1333.33 calories dans un morceau de fromage suisse de 400 grammes.
PS:Dans ces 2 exemples,le nombre de calories dans 30 grammes de fromage suisse est fictif !!!
