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
"Ramesh scored thrice as much as Suresh in a board examination", Which of the following linear equations represents this statement? | |||
| Right Option : B | |||
| View Explanation | |||
"Zoya and Riya, both have total 16 toys". Which of the following linear equations represents this statement? | |||
| Right Option : C | |||
| View Explanation | |||
'The number of runs scored by Rubin is 25 more than thrice the number of runs scored by Satishl'. if t represents the number of runs scored by Satish and y represents the number of runs scored by Rubin, then which of the following equations represents the situation? | |||
| Right Option : A | |||
| View Explanation | |||
Students / Parents Reviews [10]
I 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
10thMy 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
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.
Cheshta
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Hiya Gupta
8thIt 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
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
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Om Umang
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10thOne 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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10thIt 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.
