A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?
Asked by Ghufran Siddiqui Last Modified
Follow 1 
Answer 
Suppose 80 liters of liquid we have 30 l water and 50 l syrup.we take out 'x' units of liquid from the vessel. So we draw 3x/8 units of water and 5x/8 units of syrup from the vessel. Remaining quantities of water and syrup left are now 30-(3x/8) and 50-(5x/8) units respectively. We now add 'x' units...
read more Suppose 80 liters of liquid we have 30 l water and 50 l syrup.we take out 'x' units of liquid from the vessel. So we draw 3x/8 units of water and 5x/8 units of syrup from the vessel. Remaining quantities of water and syrup left are now 30-(3x/8) and 50-(5x/8) units respectively. We now add 'x' units of water. Now quantities of water and syrup are 30-(3x/8)+x and 50-(5x/8) respectively. As there must be equal quantities of water and syrup now, we have 30-(3x/8)+x = 50-(5x/8) Solve to get x=16 units which means you need to draw 20% or 1/5th of the liquid from the vessel. read less
2
Comments
Answer: 1/5th of the vessel volume. Let's assume the capacity of vessel be (3+5=) 8 ltrs. Now, the basic principle of all such questions is that when you remove any amount of the mixture, it removes both the liquids in the same ratio as the mixture itself. So, let's suppose we take x ltrs out of the...
read more Answer: 1/5th of the vessel volume. Let's assume the capacity of vessel be (3+5=) 8 ltrs. Now, the basic principle of all such questions is that when you remove any amount of the mixture, it removes both the liquids in the same ratio as the mixture itself. So, let's suppose we take x ltrs out of the vessel. This means 5x/8 amount of syrup and 3x/8 amount of water gets removed. which means the remaining mixture has (3-(3x/8)) ltrs of water & (5-(5x/8)) syrup. Now when we add x ltrs of water to this mixture, the amount of water and syrup becomes equal. Thus, (x+3-(3x/8)) = (5-(5x/8)) => x=1.6 ltrs. Since we assumed that vessel is 8 ltrs. in volume=> 1.6/8 = 1/5th of the mixture in the vessel needs to be replaced with water. Hope it helps. :) read less
1
1 Comments
Let x litres of this liquid be replaced with water Let x litres of this liquid be replaced with water. Quantity of syrup in new mixture = (5 -5x/8)litres 3- 3x/8 + x= 5-5x/8 24- 3x+8x= 40-5x 10x=16 X=1.6 lits
1
Comments
1/8 part
0
Comments
Suppose the vessel initially contains 8 litres of liquid. Let x litres of this liquid be replaced with water. Quantity of water in new mixture = (3 -3x/8+ x)litres Quantity of syrup in new mixture = (5 -5x/8)litres therefore, (3 -3x/8+ x) = (5 -5x/8) 5x + 24 = 40 - 5x 10x = 16 x = 8/5 So,...
read more Suppose the vessel initially contains 8 litres of liquid. Let x litres of this liquid be replaced with water. Quantity of water in new mixture = (3 -3x/8+ x)litres Quantity of syrup in new mixture = (5 -5x/8)litres therefore, (3 -3x/8+ x) = (5 -5x/8) 5x + 24 = 40 - 5x 10x = 16 x = 8/5 So, part of the mixture replaced = (8/5 x1/8)=1/5 . read less
0
Comments
Its so simple dude, 5 parts syrup nd 3 parts water, totally 8 parts , for our convenience let the total quantity of mixture be 8 litres. So from this 8 liters some amt is taken and replaced with water, let that be x liters. Even in that x liters that we take from 8 liters have 5 parts syrup nd 3 parts...
read more Its so simple dude, 5 parts syrup nd 3 parts water, totally 8 parts , for our convenience let the total quantity of mixture be 8 litres. So from this 8 liters some amt is taken and replaced with water, let that be x liters. Even in that x liters that we take from 8 liters have 5 parts syrup nd 3 parts water so please find below eqn 3- 3x/8 + x= 5-5x/8 24- 3x+8x= 40-5x 10x=16 X=1.6 lits read less
0
Comments
Solution: Let the amount of water be 3x and that of syrup be 5x. => The quantity of liquid = 8x. Since we are not changing the quantity of syrup, it remain as 5x. In order to get the mixture half water and half syrup we need to have their ratio as 1:1. Adding"2x" water make quantities of both ingredients...
read more Solution: Let the amount of water be 3x and that of syrup be 5x. => The quantity of liquid = 8x. Since we are not changing the quantity of syrup, it remain as 5x. In order to get the mixture half water and half syrup we need to have their ratio as 1:1. Adding"2x" water make quantities of both ingredients equal. However, this make total quantity to 10x but the mixture will be half syrup and half water. read less
0
Comments
Dear Ghufran, First let us assume the variable which we have to find (say X) which represents the quantity of mixture to be drawn off and replaced with water. Now when we draw X amount of mixture it will contain 3 parts of water and 5 parts of syrup (total 8 parts) and also it is replaced by water...
read more Dear Ghufran, First let us assume the variable which we have to find (say X) which represents the quantity of mixture to be drawn off and replaced with water. Now when we draw X amount of mixture it will contain 3 parts of water and 5 parts of syrup (total 8 parts) and also it is replaced by water so, Parts of water in new mixture = 3 - 3 X/8 + X Parts of syrup in new mixture = 5 - 5X/8 Now we require that the mixture should be half water and half syrup i.e 4 parts of syrup and 4 parts of water so we equate any of the above equations with 4 for eg 3 - 3X/8 +X = 4 which on solving will give X=8/5 Also you can equate the equations to get the answer since we require equal ( half each) parts of syrup and water 3 - 3X/8 + X = 5 -5X/8 Which on solving will also give the same answer X =8/5 Hence 8/5th of the mixture should be drawn off and replaced by water to get half syrup and half water. read less
0
Comments
Seema Mridha
Commerce classes
1/8th
0
Comments
One fifth......it is like if l lts of content is assumed, 3l/8 will b water and 5l/8 will be syrup. Now if a lts of content is removed and a lts of water is added , then water content in new mixture will be 3(l-a)/8+a which must b equal to syrup in new mixture, 5(l-a)/8. Equating them, you'd get a=l/5....
read more One fifth......it is like if l lts of content is assumed, 3l/8 will b water and 5l/8 will be syrup. Now if a lts of content is removed and a lts of water is added , then water content in new mixture will be 3(l-a)/8+a which must b equal to syrup in new mixture, 5(l-a)/8. Equating them, you'd get a=l/5. That means 1/5th of original content needs to b removed and replaced with water read less
0
Comments
View 18 more Answers
Related Questions
9 A 900 pF battery is charged by 100 V battery. How much electrostatic energy is stored by the capacitor ? 
4.5 micro joules
How many ways are there to arrange the letters in the word "garden" with the vowels in alphabetical order?
As there are only 2 vowels, there will be equal no. of cases with 'a' before 'e' and 'a' after 'e'. So required no. of arrangements = 6!/2 = 360.
Give two examples of â??Significant non cash transactionsâ??.
Goodwill written off during the year and depreciation charged on fixed assets
From 4 officers and 8 jawans, In how many ways can 6 be chosen so as to essentially include at least one officer ?
total number of ways for selecting 6 persons out of 8 officers and 4 jawans are (i) 1 Officer and 5 jawans (ii) 2 Officers and 4 jawans (iii) 3 Officers and 3 jawans (iv) 4 Officers and 2 jawans 4C1....
Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com
Ask a QuestionRelated Lessons
Electrostatic charge distribution.
Suppose there are two metallic charged bodies A and B, separated by an distance x and each having equal amount of charge, Q. Now another metallic uncharged body C is brought in contact with body A and...
Bank Reconciliation Statement
In the given chapter to solve a sum we are given a cash book and another thing is bank pass book. and there is some miss match so we need to come to a conclusion that the same miss match is. We can...
L' HOPITAL rule in solving limit problems.
L'HOPITAL rule : Applicable to all limit problems wherein both numerator and denominator becomes either '0' or '∞' like 0/0 or ∞/∞ after substituting limiting value. As per this method,...
The Golden Rule of Accounting
The Golden Rule of Accounting: Debit The Receiver, Credit The Giver: This principle is used in the case of personal accounts. When a person gives something to the organization, it becomes an...
What Is Biology?
Biology is a branch of science,where are study about all living organisms on earth. Biology term given by 'Aristotle'. It is mainly devided into two branch: 1. Zoology (given by Aristotle) : Zoology is...
Recommended Articles
Meet Swati, a Hindi Tutor from Bangalore
Swati is a renowned Hindi tutor with 7 years of experience in teaching. She conducts classes for various students ranging from class 6- class 12 and also BA students. Having pursued her education at Madras University where she did her Masters in Hindi, Swati knows her way around students. She believes that each student...
Read full article >
Meet Urmila, an MBBS tutor from Bangalore
Urmila is a passionate teacher with over 8 years of experience in teaching. She is currently pursuing her Ph. D. She provides classes for Class 11, Class 12, MBBS and Medical tuition. Urmila began her career in teaching long before she became a teacher. She used to provide classes for foreign national students in her college...
Read full article >
Meet Mohammad Wazid, a skilled trainer for...
Mohammad Wazid is a certified professional tutor for class 11 students. He has 6 years of teaching experience which he couples with an energetic attitude and a vision of making any subject easy for the students. Over the years he has developed skills with a capability of understanding the requirements of the students. This...
Read full article >
Meet Raghunandan.G.H, a B. Tech Tutor from...
Raghunandan is a passionate teacher with a decade of teaching experience. Being a skilled trainer with extensive knowledge, he provides high-quality BTech, Class 10 and Class 12 tuition classes. His methods of teaching with real-time examples makes difficult topics simple to understand. He explains every concept in-detail...
Read full article >
Find Class 12 Tuition near you
Looking for Class 12 Tuition ?
Learn from the Best Tutors on UrbanPro
Are you a Tutor or Training Institute?
Join UrbanPro Today to find students near you
