Word Problems Representation
Word Problems Representation
We have to examine the statement clearly and identify our supposition.
After assuming the variable we write the statement mathematically
Illustration: A cab charges per person Rs 15 for the first Kilometer and Rs 10 for each subsequent kilometer. For a distance of x km formulate an equation for the amount charged as y rs.
Solution: Assuming distance as x km
Assuming Amount as y Rs
For the first kilometer Amount = 15 Rs
The number of remaining Kilometer = x-1
Amount for remaining kilometers Amount = (x-1) X 10
Total Amount = Amount for First Kilometer + Amount for Remaining Kilometer
y= 15+(x-1)X 10
y= 15 + 10x -10
y= 10x+5
Illustration: In countries like USA and Canada, temperature is measured in Fahrenheit,whereas in countries like India,it is measured in Celsius.Here is a linear equation that converts Fahrenheit to Celsius:
If the temperature is 350C ,what is the temperature in Fahrenheit ?
If the temperature is 990F,what is the temperature in Celsius ?
Solution: We have
When C = 0 ,
When C = 15,
When C = -10,
We have the following table: :
| C | 0 | -15 | - 10 |
| F | 32 | 5 | 14 |
Plotting the ordered pairs (0, 32), (-15, 5) and (-10,14) on a graph paper. Joining these points, we get a straight line AB.
2. From the graph, we have 86°F corresponds to 30°C.
3. From the graph, we have 95°F corresponds 35°C.
4. We have, C = 0
From (1), we get
Also, F = 0
From (1), we get
5. When F = C (numerically)
From (1), we get
A can do a piece of work in 24 days. If B is 60% more efficient than A, then the number of days required by B to do the twice as large as the earlier work is | |||
| Right Option : D | |||
| View Explanation | |||
The number of red shirts is 5 less than thrice the number of yellow shirts'. If x represents the number of yellow shirts and y represents the number of red shirts,then which of the following mathematical equations represents the situation? | |||
| Right Option : A | |||
| View Explanation | |||
Ram has 5 pens more than twice the number of pens Ramesh has'. If x represents the number of pens with Ramesh and y represents the number of pens with Ram, then which of the following mathematical equations represents the situation? | |||
| Right Option : C | |||
| View Explanation | |||
Students / Parents Reviews [20]
Abhyas 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
10thMy 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
8thAbhyas 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
7thMy experience was very good with Abhyas academy. I am studying here from 6th class and I am satisfied by its results in my life. I improved a lot here ahead of school syllabus.
Ayan Ghosh
8thBeing 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 institute is one of the best coaching institute in the vicinity of Ambala Cantt area. The teachers of the institute are well experienced and very helpful in solving the problems of the students.The good thing of the institute is that it is providing extra classes for the students who are w...
Aman Kumar Shrivastava
10thIt 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.
Cheshta
10thAbhyas is good institution and a innovative institute also. It is a good platform of beginners.Due to Abhyas,he has got knoweledge about reasoning and confidence.My son has improved his vocabulary because of Abhyas.Teacher have very friendly atmosphere also.
Manish Kumar
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
7thIt was good as the experience because as we had come here we had been improved in a such envirnment created here.Extra is taught which is beneficial for future.
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
8thWhen 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.
Sharandeep Singh
7thIt has a great methodology. Students here can get analysis to their test quickly.We can learn easily through PPTs and the testing methods are good. We know that where we have to practice
Barkha Arora
10thMy experience with Abhyas is very good. I have learnt many things here like vedic maths and reasoning also. Teachers here first take our doubts and then there are assignments to verify our weak points.
Shivam Rana
7thAbhyas is a complete education Institute. Here extreme care is taken by teacher with the help of regular exam. Extra classes also conducted by the institute, if the student is weak.
Om Umang
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 ...
Ayan Ghosh
8thI have spent a wonderful time in Abhyas academy. It has made my reasoning more apt, English more stronger and Maths an interesting subject for me. It has given me a habbit of self studying
Yatharthi Sharma
10thA 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
7thAbhyas institute is one of the best coaching institute in the vicinity of Ambala cantt.The institute provides good and quality education to the students.The teachers are well experienced and are very helpful in solving the problems. The major advantages of the institute is extra classes for weak...
Shreya Shrivastava
8thOne 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.
