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?

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
115 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)
What is the value of 4 raised to the power of 3, multiplied by the square root of 49?
+
What is the amplitude, period, phase shift, and range of the function f(x) = sin x?
+
Find the period of the trigonometric function y = 2cos(5x) - sin(3x).
+
New questions in Mathematics
Find 2 numbers that the sum of 1/3 of the first plus 1/5 of the second will be equal to 13 and that if you multiply the first by 5 and the second by 7 you get 247 as the sum of the two products with replacement solution
1/2x +3 <4x-7
4.2x10^_6 convert to standard notation
Two numbers differ by 7, and the sum of their squares is 29. Find the numbers.
A National Solidarity Bond offers A 5 year bond offering a gross return of 15% Calculate the AER for this investment. (Give your answer to two decimal places, no need for the percent or € sign in your answer)
4. Show that if n is any integer, then n^2 3n 5 is an odd integer
There are four times as many roses as tulips in Claire’s garden. Claire picked half of the number of roses and 140 roses were left in the garden. How many roses and tulips were in the Garden the first?
find f(x) for f'(x)=3x+7
User Before the election, a poll of 60 voters found the proportion who support the Green candidate to be 25%. Calculate the 90% confidence interval for the population parameter. (Give your answers as a PERCENTAGE rounded to TWO DECIMAL PLACES: exclude any trailing zeros and DO NOT INSERT THE % SIGN) Give the lower limit of the 90% confidence interval Give the upper limit of the 90% confidence interval
Shows two blocks, masses 4.3 kg and 5.4 kg, being pushed across a frictionless surface by a 22.5-N horizontal force applied to the 4.3-kg block. A. What is the acceleration of the blocks? B. What is the force of the 4.3-kg block on the 5.4 -kg block? C. What is the force of the 5.4 -kg block on the 4.3 -kg block?
User One of the applications of the derivative of a function is its use in Physics, where a function that at every instant t associates the number s(t), this function s is called the clockwise function of the movement. By deriving the time function we obtain the velocity function at time t, denoted by v(t). A body has a time function that determines its position in meters at time t as S(t)=t.³√t+2.t . Present the speed of this body at time t = 8 s.
Find the complement and supplement angles of 73
A contractor gives a bank note for $10250 at a rate of 1% for one month. How much interest is charged for 4 months?
To get to a hotel on the hill you have to travel 6 km of uphill road and every kilometer there are 6 sharp curves. Each of the sharp curves is marked by three traffic signs. How many traffic signs are there on the stretch of road that leads to the arbergi?
A person runs 175 yards per minute write a variable that represents the relationship between time and distance
The mean of 4 numbers is 5 and the mean of 3 different numbers is 12. What is the mean of the 7 numbers together? Produce an algebraic solution. Guess and check is acceptable.
2x-4=8
Determine the general solution of the equation y′+y=e−x .
Find the rule that connects the first number to the second number of each pair. Apply the rule to find the missing number in the third pair. (18 is to 22) (54 is to 26) (9 is to ?)
5 1/9 + 2 2/3