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?

276

likes

1381 views

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

54 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.

Frequently asked questions (FAQs)

Math question: Convert the number 4.36 x 10^3 to standard form.

What is the measure of the third angle in a triangle if one angle is 45° and the other angle is 90°?

Math question: Factorize 3x^2 + 10x - 8.

New questions in Mathematics

1 + 1

3(2+x)-2(2x+6)=20-4x

Determine the correct value: A company knows that invoices pending collection have a normal distribution with a mean of $1.65 million, with a standard deviation of $0.2 million, then: The probability that an invoice pending collection has an amount that is within more than 2 deviations below the mean, is:

To make brine, José buys 1 kg of salt and pays 12 pesos. If he buys 4 kg, they charge him 48 pesos, but for 100 pesos they sell him 9 kg. What is the constant of proportionality?

We have spent 1/4 of the inheritance on taxes and 3/5 of the rest on buying a house. If the inheritance was a total of €150,000 How much money do we have left?

Log5 625

The Humane Society has asked for our help again this week. Currently they are charging $50 for an adoption fee. Unfortunately they just pulled this number out of the air and do not know why they are charging this amount. They would like to charge an amount that covers all the adoption costs – both the variable costs for adoptions as well as the fixed cost for the kennel portion of the Humane Shelter operations. We can help them by doing a breakeven analysis. During a client meeting we gathered these facts. There are 2 part-time employees that each earn $1000 per month. The utilities for the kennel area (water, electricity) are $200 per month. The average food cost for animals in the kennel is $800 per month. In addition, each animal that is adopted receives a rabies vaccination that costs $4 and is micro-chipped that costs $6. At the current cost of $50, how many animals must be adopted to break-even? What would break-even be at a $60 adoption fee? What would break-even be if the fee were lowered to $40? The newspaper has suggested that the Humane Society advertise to increase pet adoptions. The package that they have recommended costs $1000 for a very small ad run every day for a month. If the Humane Society does this extra advertising, how will it affect breakeven? Based on what you have learned about elasticity, what price do you recommend for the adoption fee?