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Question
dans le cadre dune expérience de laboratoire, nolan, le technicien doit préparer le matériel. il y a 72 étudiants inscrits pour ce laboratoire. ils seront séparés en équipes de 4. chaque équipe aura besoin de $\frac{2}{3}$ de tasse de vinaigre blanc. le vinaigre ne vend dans de bouteille contenant 8 tasses. nolan remarque quil lui rest 2 bouteille mais les 2 bouteilles ne sont pas pleines. la première bouteille nest remplie quà $\frac{1}{4}$. la deuxième bouteille est remplie aux $\frac{14}{16}$. nolan croit quil lui reste suffisamment de vinaigre. a - til raison? oui ou non
Step1: Calculate number of teams
The number of students is 72 and they are divided into teams of 4. So the number of teams $n=\frac{72}{4}=18$.
Step2: Calculate total vinegar needed
Each team needs $\frac{2}{3}$ of a flask of white - vinegar. So the total amount of vinegar needed $V_{needed}=18\times\frac{2}{3}=12$ flasks.
Step3: Calculate amount of vinegar in existing bottles
The first bottle is $\frac{1}{4}$ full and the second is $\frac{14}{16}=\frac{7}{8}$ full, and each bottle has a capacity of 8 flasks.
The amount of vinegar in the first bottle $V_1 = 8\times\frac{1}{4}=2$ flasks.
The amount of vinegar in the second bottle $V_2=8\times\frac{7}{8}=7$ flasks.
The total amount of vinegar available $V_{available}=V_1 + V_2=2 + 7=9$ flasks.
Step4: Compare needed and available vinegar
Since $V_{needed}=12$ flasks and $V_{available}=9$ flasks, and $9<12$.
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