Statement Sums involving Linear Equations
Statement Sums involving Linear Equations
Statement Sums involving Linear Equation: In these sums a certain situation is given we have to analyse the statement and then suppose a certain quantity. and will then try to identify a relation with the quantity we have supposed.
The procedure to translate a word problem in the form of an equation is known as the formulation of the problem. Thus, the process of solving a word problem consists of two parts, namely, formulation and solution.
The following steps should be followed to solve a word problem:
Step I Read the problem carefully and note what is given and what is required.
Step II Denote the unknown quantity by some letters, say x, y, z, etc.
Step III Translate the statements of the problem into mathematical statements.
Step IV Using the condition (s) given in the problem, form the equation
Step V Solve the equation for the unknown.
Step VI Check whether the solution satisfies the equation.
Example: The numerator of a fraction is 4 less than the denominatr. If 1 is added to both its numerator and denominator, it becomes 1/2. FInd the fraction.
Solution Let the denominator of the fraction be x. Then,
Numerator of the fraction = x - 4
Fraction
If 1 is added to both its numerator and denominator, the fraction becomes .
[ Using cross - multiplication]
Putting x = 7 in (i), we get
Fraction Hence, the given fraction is
Example : How much pure alcohol be added to 400 ml of a 15% solution to make its strength 32%?
Solution Let x ml pure alcohol be added to 400 ml of a 15% solution to make its strength 32%. Here, 15% solution means that there is 15 ml pure alcohol in a solution of 100 ml.
Now, Quantity of alcohol in 100 ml solution = 15 ml
Quantity of alcohol in one ml solution
Quantity of alcohol in 400 ml solution
Total quantity of the solution = (400 + x) ml
Total quantity of alcohol in (400 + x) ml solution = (60 + x) ml
Quantity of alcohol in one ml
Quantity of alcohol in 100 ml
Strength of the solution
100%
But, the strength of the solution is given as 32%.
[ Multiplying both sides by (400 + x)]
Thus, 100 ml alcohol must be added to make 32% strength of the solution.
The ratio of price of three different types of jeeps is 4:5:7 if the difference between the constliest and the cheapest is Rs.60000,the price of the jeep of the modest price is | |||
| Right Option : B | |||
| View Explanation | |||
Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit's salary? | |||
| Right Option : D | |||
| View Explanation | |||
Find two consecutive even numbers such that smaller of the two numbers is | |||
| Right Option : D | |||
| View Explanation | |||
Students / Parents Reviews [20]
About Abhyas metholodology the teachers are very nice and hardworking toward students.The Centre Head Mrs Anu Sethi is also a brilliant teacher.Abhyas has taught me how to overcome problems and has always taken my doubts and suppoeted me.
Shreya Shrivastava
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10thIn terms of methodology I want to say that institute provides expert guidence and results oriented monitering supplements by requsite study material along with regular tests which help the students to improve their education skills.The techniques of providing education helps the students to asses...
Aman Kumar Shrivastava
10thBeing a parent, I saw my daughter improvement in her studies by seeing a good result in all day to day compititive exam TMO, NSO, IEO etc and as well as studies. I have got a fruitful result from my daughter.
Prisha Gupta
8thAbhyas Methodology is very good. It is based on according to student and each child manages accordingly to its properly. Methodology has improved the abilities of students to shine them in future.
Manish Kumar
10thAbhyas academy is great place to learn. I have learnt a lot here they have finished my fear of not answering.It has created a habit of self studying in me.The teachers here are very supportive and helpful. Earlier my maths and science was good but now it has been much better than before.
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Barkha Arora
10thWe started with lot of hope that Abhyas will help in better understnding of complex topics of highers classes. we are not disappointed with the progress our child has made after attending Abhyas. Though need to mention that we expected a lot more. On a scale of 1-10, we would give may be 7.
Manya
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Cheshta
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Ayan Ghosh
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Om Umang
10thMy experience with Abhyas Academy has been very good. When I was not in Abhyas whenever teacher ask questions I could not speak it confidently but when I came in Abhyas, my speaking skills developed and now I am the first one to give the answer of teachers question.
Upmanyu Sharma
7thA marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.
Archit Segal
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7thMy experience with Abhyas academy is very nice or it can be said wonderful. I have been studying here from seven class. I have been completing my journey of three years. I am tinking that I should join Abhyas Academy in tenth class as I am seeing much improvement in Maths and English
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9thMy experience with Abhyas academy is very good. I did not think that my every subject coming here will be so strong. The main thing is that the online tests had made me learn here more things.
Hiya Gupta
8thUsually we see institutes offering objective based learning which usually causes a lag behind in subjective examinations which is the pattern followed by schools. I think it is really a work of planning to make us students grab the advantages of modes of examination, Objective Subjective and Onli...
