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?

Name: Solved: 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? - MathMaster
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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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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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