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.
Nitin subtracts thrice the number of pens he has from 60, he finds the resul to be 45. How many pens does he have? | |||
| Right Option : B | |||
| View Explanation | |||
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| Right Option : D | |||
| View Explanation | |||
A number is multiplied by 6 and 12 is added to the product. The result is 84. Then the number is ______________ | |||
| Right Option : C | |||
| View Explanation | |||
Students / Parents Reviews [20]
One 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.
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Ayan Ghosh
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8thIn 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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7thUsually 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...
