Louis works in a stone quarry with his brother and cousin. Every day they are given a pile of rocks which they must carry up a hill. Today Louis transported two thirds of the pile of rocks, his brother transported a fifth and their cousin transported 60 rocks. How many rocks did Louis and his brother each carry?

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Answer to a math question Louis works in a stone quarry with his brother and cousin. Every day they are given a pile of rocks which they must carry up a hill. Today Louis transported two thirds of the pile of rocks, his brother transported a fifth and their cousin transported 60 rocks. How many rocks did Louis and his brother each carry?

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Corbin

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Calculons le nombre de roches que Louis et son frère ont transportées. Supposons que le nombre total de roches dans le tas soit représenté par la variable « x ». Louis a transporté les deux tiers du tas, soit (2/3) * x roches. Son frère a transporté un cinquième du tas, soit (1/5) * x roches. On sait que leur cousin a transporté 60 pierres. Nous pouvons établir l’équation suivante pour représenter le nombre total de roches dans le tas : (2/3)x + (1/5)x + 60 =x Pour résoudre x, nous pouvons commencer par simplifier l’équation : (10/15)x + (3/15)x + 60 =x (13/15)x + 60 =x Ensuite, nous pouvons isoler x en soustrayant (13/15)x des deux côtés : 60 = x - (13/15) x 60 = (2/15)x Pour trouver x, nous pouvons multiplier les deux côtés par 15/2 : (15/2)(60) =x 450 = x Le nombre total de pierres dans le tas est donc de 450. Calculons maintenant le nombre de roches transportées par Louis et son frère : Louis transporté (2/3) * 450 roches = 300 roches. Son frère a transporté (1/5) * 450 roches = 90 roches. Ainsi, Louis a transporté 300 roches et son frère en a transporté 90.

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