two pails of different sizes contain 34.5 litres of water altogether When 0.68 litre of water is poured from the bigger pail into the smaller pail the amount of water in the bigger pail is 9 times that in the smaller pail. How much water was in the smaller pail at first?

Name: Solved: two pails of different sizes contain 34.5 litres of water altogether When 0.68 litre of water is poured from the bigger pail into the smaller pail the amount of water in the bigger pail is 9 times that in the smaller pail. How much water was in the smaller pail at first? - MathMaster
Brand: MathMaster
Rating: 4.9 (208 reviews)

208

likes

1042 views

Answer to a math question two pails of different sizes contain 34.5 litres of water altogether When 0.68 litre of water is poured from the bigger pail into the smaller pail the amount of water in the bigger pail is 9 times that in the smaller pail. How much water was in the smaller pail at first?

$Expert avatar$

Hester

4.8

80 Answers

We know that the total amount of water in both pails is 34.5 liters, so we can write the equation: S + L = 34.5 We're also given that when 0.68 liters of water is poured from the larger pail (L) into the smaller pail (S), the amount of water in the larger pail is 9 times that in the smaller pail. We can express this as: L - 0.68 = 9(S + 0.68) Now, we have a system of two equations: S + L = 34.5 L - 0.68 = 9(S + 0.68) We can solve this system of equations simultaneously to find the values of S and L. Start by solving equation (1) for L: L = 34.5 - S Now, substitute this expression for L into equation (2): (34.5 - S) - 0.68 = 9(S + 0.68) Now, solve for S: 33.82 - S = 9S + 6.12 Combine like terms: 10S = 27.7 Now, solve for S: S = 27.7 / 10 S = 2.77 So, there were approximately 2.77 liters of water in the smaller pail at first.

Frequently asked questions (FAQs)

Math question: Find the 5th higher-order derivative of f(x) = 3x^4 - 2x^3 + 5x^2 - 7x + 1.

Question: What is the domain and range of the cube root function y = ∛x? (

What is the circumference of a circle with a diameter of 10 units?

New questions in Mathematics

431414-1*(11111-1)-4*(5*3)

58+861-87

Using the integration by parts method, calculate the integral of [x².ln(1/x)]dx: x 4 /4 x³/6 x 4 /8 x³/3 x 4 /6

Which of the following is the product of multiplying twenty-seven and twenty-five hundredths by nine and twenty-seven hundredths?

Suppose the horses in a large they will have a mean way of 818 pounds in a variance of 3481. What is the probability that the mean weight of the sample of horses with differ from the population mean by more than 18 pounds is 34 horses are sampled at random from the stable.

Margin of error E=0.30 populations standard deviation =2.5. Population means with 95% confidence. What I the required sample size (round up to the whole number)

(2x+5)^3+(x-3)(x+3)