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
likes1042 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?
Hester
4.8116 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 measure of an angle in a triangle, given two side lengths and the included angle, using the Sine Law?
+
What is the radian measure of an angle in a circle if it subtends an arc on the circumference equal to its radius?
+
Question: What is the probability of getting a 6 when rolling a fair six-sided die?
+
New questions in Mathematics