Statement Sums involving Ratios
Statement Sums involving Ratios
Statement Sums involving Ratios:
Ratio problems: Two-term Ratios
Example 1:
In a bag of red and green sweets, the ratio of red sweets to green sweets is 3:4. If the bag contains 120 green sweets, how many red sweets are there?
Solution:
Step 1: Assign variables :
Let x = red sweets
Write the items in the ratio as a fraction.
Step 2: Solve the equation
Cross Multiply
3 × 120 = 4 × x360 = 4x
Isolate variable x
Answer: There are 90 red sweets.
Example 2:
John has 30 marbles, 18 of which are red and 12 of which are blue. Jane has 20 marbles, all of them either red or blue. If the ratio of the red marbles to the blue marbles is the same for both John and Jane, then John has how many more blue marbles than Jane?
Solution:
Step 1: Sentence: Jane has 20 marbles, all of them either red or blue.
Assign variables:
Let x = blue marbles for Jane20 – x = red marbles for Jane
We get the ratio from JohnJohn has 30 marbles, 18 of which are red and 12 of which are blue.
We use the same ratio for Jane.
Step 2: Solve the equation
Cross Multiply
3 × x = 2 × (20 – x)3x = 40 – 2x
Isolate variable x
John has 12 blue marbles. So, he has 12 – 8 = 4 more blue marbles than Jane.
Answer: John has 4 more blue marbles than Jane.
A train took "X hours" to reach destination A from point X and "Y hours" to reach destination B from point A. What is the ratio of time taken by the train to reach destination B from A to the total time taken by the train to reach destination B from point X ? | |||
| Right Option : D | |||
| View Explanation | |||
Divide Rs. 231 in the ratio 3:4. | |||
| Right Option : D | |||
| View Explanation | |||
Half of Deepali's age is equal to one -third of Anuj's age . Find the ratio of Deepali 's age to Anuj's age . | |||
| Right Option : A | |||
| View Explanation | |||
Students / Parents Reviews [10]
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.
Aman Kumar Shrivastava
10thAbout 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
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
10thAbhyas 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
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
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.
Eshan Arora
8thA 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
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
8thMy 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.
