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.
Two number are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is ____________ | |||
| Right Option : B | |||
| View Explanation | |||
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 | |||
A sum of money is distributed among A, B, C, D in the proportion 5 : 2 : 4 : 3. If C gets Rs 1000 more than D, then what is B's share? | |||
| Right Option : D | |||
| View Explanation | |||
Students / Parents Reviews [20]
Abhyas is an institute of high repute. Yogansh has taken admission last year. It creates abilities in child to prepare for competitive exams. Students are motivated by living prizes on basis of performance in Abhyas exams. He is satisfied with institute.
Yogansh Nyasi
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Hridey Preet
9thA 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
7thOne of the best institutes to develope a child interest in studies.Provides SST and English knowledge also unlike other institutes. Teachers are co operative and friendly online tests andPPT develope practical knowledge also.
Aman Kumar Shrivastava
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Ayan Ghosh
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10thThird consective year,my ward is in Abhyas with nice experience of admin and transport support.Educational standard of the institute recumbent at satisfactory level. One thing would live to bring in notice that last year study books was distributed after half of the session was over,though study ...
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Om Umang
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Shivam Rana
7thIn 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...
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Hiya 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
10thWhen I have not joined Abhyas Academy, my skills of solving maths problems were not clear. But, after joining it, my skills have been developed and my concepts of science and SST are very well. I also came to know about other subjects such as vedic maths and reasoning.
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Eshan Arora
8thAbout 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
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...
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8thIt was a good experience with Abhyas Academy. I even faced problems in starting but slowly and steadily overcomed. Especially reasoning classes helped me a lot.
