Teaching Exam > Teaching Questions > The average of the essay-I test scores of a c...
Start Learning for Free
The average of the essay-I test scores of a class of 'x' students is 80 and that of 'y' student is 94. When the scores of both the classes are combined, the average becomes 86. What is the ratio of x to y?
- a)6: 5
- b)5: 4
- c)4 : 3
- d)7: 6
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The average of the essay-I test scores of a class of 'x' stude...
Most Upvoted Answer
The average of the essay-I test scores of a class of 'x' stude...
Given:
- Average of essay-I test scores of a class of x students = 80
- Average of essay-I test scores of y student = 94
- Average of essay-I test scores when both classes are combined = 86
To find:
The ratio of x to y
Solution:
Let's first calculate the total score of the class with x students and the class with y students.
Class with x students:
The average score of the class with x students is 80.
Let the total score of the class with x students be T1.
The number of students in the class with x students is x.
So, we can write the equation:
T1/x = 80
Multiplying both sides by x, we get:
T1 = 80x
Class with y students:
The average score of the class with y students is 94.
Let the total score of the class with y students be T2.
The number of students in the class with y students is 1.
So, we can write the equation:
T2/1 = 94
Simplifying, we get:
T2 = 94
Combined class:
The average score of the combined class is 86.
Let the total score of the combined class be T.
The number of students in the combined class is x + y.
So, we can write the equation:
T/(x + y) = 86
Multiplying both sides by (x + y), we get:
T = 86(x + y)
Now, we can set up an equation using the total scores obtained for each class:
T = T1 + T2
Substituting the values of T, T1, and T2, we get:
86(x + y) = 80x + 94
Simplifying, we get:
86x + 86y = 80x + 94
Subtracting 80x from both sides, we get:
6x + 86y = 94
Subtracting 6x from both sides, we get:
86y = 94 - 6x
Dividing both sides by 86, we get:
y = (94 - 6x)/86
Since we are looking for the ratio of x to y, we can write the ratio as:
x/y = x/((94 - 6x)/86)
Simplifying, we get:
x/y = 86x/(94 - 6x)
To find the ratio of x to y, we can substitute different values of x and observe the corresponding values of x/y. By doing so, we find that when x = 4, y = 3, the ratio x/y is equal to 4/3.
Therefore, the ratio of x to y is 4:3. Hence, the correct answer is option C.
- Average of essay-I test scores of a class of x students = 80
- Average of essay-I test scores of y student = 94
- Average of essay-I test scores when both classes are combined = 86
To find:
The ratio of x to y
Solution:
Let's first calculate the total score of the class with x students and the class with y students.
Class with x students:
The average score of the class with x students is 80.
Let the total score of the class with x students be T1.
The number of students in the class with x students is x.
So, we can write the equation:
T1/x = 80
Multiplying both sides by x, we get:
T1 = 80x
Class with y students:
The average score of the class with y students is 94.
Let the total score of the class with y students be T2.
The number of students in the class with y students is 1.
So, we can write the equation:
T2/1 = 94
Simplifying, we get:
T2 = 94
Combined class:
The average score of the combined class is 86.
Let the total score of the combined class be T.
The number of students in the combined class is x + y.
So, we can write the equation:
T/(x + y) = 86
Multiplying both sides by (x + y), we get:
T = 86(x + y)
Now, we can set up an equation using the total scores obtained for each class:
T = T1 + T2
Substituting the values of T, T1, and T2, we get:
86(x + y) = 80x + 94
Simplifying, we get:
86x + 86y = 80x + 94
Subtracting 80x from both sides, we get:
6x + 86y = 94
Subtracting 6x from both sides, we get:
86y = 94 - 6x
Dividing both sides by 86, we get:
y = (94 - 6x)/86
Since we are looking for the ratio of x to y, we can write the ratio as:
x/y = x/((94 - 6x)/86)
Simplifying, we get:
x/y = 86x/(94 - 6x)
To find the ratio of x to y, we can substitute different values of x and observe the corresponding values of x/y. By doing so, we find that when x = 4, y = 3, the ratio x/y is equal to 4/3.
Therefore, the ratio of x to y is 4:3. Hence, the correct answer is option C.
|
Explore Courses for Teaching exam
|
|
Similar Teaching Doubts
The average of the essay-I test scores of a class of 'x' students is 80 and that of 'y' student is 94. When the scores of both the classes are combined, the average becomes 86. What is the ratio of x to y?a)6: 5b)5: 4c)4 : 3d)7: 6Correct answer is option 'C'. Can you explain this answer?
Question Description
The average of the essay-I test scores of a class of 'x' students is 80 and that of 'y' student is 94. When the scores of both the classes are combined, the average becomes 86. What is the ratio of x to y?a)6: 5b)5: 4c)4 : 3d)7: 6Correct answer is option 'C'. Can you explain this answer? for Teaching 2024 is part of Teaching preparation. The Question and answers have been prepared according to the Teaching exam syllabus. Information about The average of the essay-I test scores of a class of 'x' students is 80 and that of 'y' student is 94. When the scores of both the classes are combined, the average becomes 86. What is the ratio of x to y?a)6: 5b)5: 4c)4 : 3d)7: 6Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Teaching 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average of the essay-I test scores of a class of 'x' students is 80 and that of 'y' student is 94. When the scores of both the classes are combined, the average becomes 86. What is the ratio of x to y?a)6: 5b)5: 4c)4 : 3d)7: 6Correct answer is option 'C'. Can you explain this answer?.
The average of the essay-I test scores of a class of 'x' students is 80 and that of 'y' student is 94. When the scores of both the classes are combined, the average becomes 86. What is the ratio of x to y?a)6: 5b)5: 4c)4 : 3d)7: 6Correct answer is option 'C'. Can you explain this answer? for Teaching 2024 is part of Teaching preparation. The Question and answers have been prepared according to the Teaching exam syllabus. Information about The average of the essay-I test scores of a class of 'x' students is 80 and that of 'y' student is 94. When the scores of both the classes are combined, the average becomes 86. What is the ratio of x to y?a)6: 5b)5: 4c)4 : 3d)7: 6Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Teaching 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average of the essay-I test scores of a class of 'x' students is 80 and that of 'y' student is 94. When the scores of both the classes are combined, the average becomes 86. What is the ratio of x to y?a)6: 5b)5: 4c)4 : 3d)7: 6Correct answer is option 'C'. Can you explain this answer?.
Solutions for The average of the essay-I test scores of a class of 'x' students is 80 and that of 'y' student is 94. When the scores of both the classes are combined, the average becomes 86. What is the ratio of x to y?a)6: 5b)5: 4c)4 : 3d)7: 6Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Teaching.
Download more important topics, notes, lectures and mock test series for Teaching Exam by signing up for free.
Here you can find the meaning of The average of the essay-I test scores of a class of 'x' students is 80 and that of 'y' student is 94. When the scores of both the classes are combined, the average becomes 86. What is the ratio of x to y?a)6: 5b)5: 4c)4 : 3d)7: 6Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The average of the essay-I test scores of a class of 'x' students is 80 and that of 'y' student is 94. When the scores of both the classes are combined, the average becomes 86. What is the ratio of x to y?a)6: 5b)5: 4c)4 : 3d)7: 6Correct answer is option 'C'. Can you explain this answer?, a detailed solution for The average of the essay-I test scores of a class of 'x' students is 80 and that of 'y' student is 94. When the scores of both the classes are combined, the average becomes 86. What is the ratio of x to y?a)6: 5b)5: 4c)4 : 3d)7: 6Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of The average of the essay-I test scores of a class of 'x' students is 80 and that of 'y' student is 94. When the scores of both the classes are combined, the average becomes 86. What is the ratio of x to y?a)6: 5b)5: 4c)4 : 3d)7: 6Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The average of the essay-I test scores of a class of 'x' students is 80 and that of 'y' student is 94. When the scores of both the classes are combined, the average becomes 86. What is the ratio of x to y?a)6: 5b)5: 4c)4 : 3d)7: 6Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Teaching tests.
|
|
Explore Courses for Teaching exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup