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we collect around 1000 seeds per sunflower. A sunflower seed weighs about 0.05 grams. approximately 25 liters of oil are extracted from 100 kilograms of sunflower seeds. Lénaïc uses 3 tablespoons of his salad sauce (for 6 people). The content of 6 tablespoons of oil is approximately equal to 1 deciliter. How many sunflowers do you need to plant to produce the oil needed to make salad dressing? can I have the explanation with the answer?

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Answer to a math question we collect around 1000 seeds per sunflower. A sunflower seed weighs about 0.05 grams. approximately 25 liters of oil are extracted from 100 kilograms of sunflower seeds. Lénaïc uses 3 tablespoons of his salad sauce (for 6 people). The content of 6 tablespoons of oil is approximately equal to 1 deciliter. How many sunflowers do you need to plant to produce the oil needed to make salad dressing? can I have the explanation with the answer?

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Hester
4.8
117 Answers
Tout d'abord, calculons combien d'huile une graine de tournesol produit.

Si 100 kilogrammes de graines de tournesol produisent 25 litres d'huile, nous pouvons déterminer combien d'huile une seule graine produit :

1. Convertissons 100 kilogrammes en grammes, puisque nous savons que le poids d'une seule graine est en grammes :
100 kilogrammes = 100,000 grammes

2. Ensuite, divisons le volume total d'huile par le poids total des graines pour obtenir le rendement en huile par gramme de graines :
25 litres (25,000 millilitres) / 100,000 grammes = 0,25 millilitres par gramme

3. Puisque nous savons qu'une graine de tournesol pèse environ 0,05 gramme, calculons combien d'huile une graine produit :
0,05 gramme * 0,25 millilitres par gramme = 0,0125 millilitres par graine

Maintenant, calculons combien de graines nous devons planter pour obtenir 1 décilitre (100 millilitres) d'huile, sachant que 6 cuillères à soupe d'huile sont environ égales à 1 décilitre :

1 décilitre / 0,0125 millilitres par graine = 100 millilitres / 0,0125 millilitres par graine = 8000 graines

Nous avons besoin de 8000 graines pour produire 1 décilitre d'huile.

Ensuite, déterminons combien de tournesols nous devons planter pour produire l'huile nécessaire à la sauce salade. Puisque Lénaïc utilise 3 cuillères à soupe de sauce pour 6 personnes, et 6 cuillères à soupe équivalent à 1 décilitre, nous avons besoin de la moitié d'un décilitre pour 3 cuillères à soupe :

La moitié d'un décilitre est de 50 millilitres, donc nous effectuons le même calcul :

50 millilitres / 0,0125 millilitres par graine = 4000 graines

Puisqu'un tournesol produit environ 1000 graines :

4000 graines / 1000 graines par tournesol = 4 tournesols

Donc, Lénaïc devrait planter 4 tournesols pour produire suffisamment d'huile pour sa sauce Salade pour 6 personnes.

\boxed{4 \text{ tournesols}}

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