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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?

Expert avatar
Corbin
4.6
107 Answers
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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