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The number of students in 3 classes is in the ratio 2:3:4. If 12 students are increased in each class this ratio changes to 8:11:14. The total number of students in the three classes in the beginning was
- a)162
- b)108
- c)96
- d)54
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The number of students in 3 classes is in the ratio 2:3:4. If 12 stude...
162
Let number of students in the classes be
2x, 3x and 4x respectively; then
total students= 2x+3x+4x=9x.
According to question, (2x+12)/ (3x+12) = 8/11
⇒ 24x+96=22x+132
2x= 132 – 96
⇒ x= 36/2= 18
Hence, original number of students,
= 9x= 9 × 18=162.
Let number of students in the classes be
2x, 3x and 4x respectively; then
total students= 2x+3x+4x=9x.
According to question, (2x+12)/ (3x+12) = 8/11
⇒ 24x+96=22x+132
2x= 132 – 96
⇒ x= 36/2= 18
Hence, original number of students,
= 9x= 9 × 18=162.
Most Upvoted Answer
The number of students in 3 classes is in the ratio 2:3:4. If 12 stude...
To solve this problem, we can set up a proportion using the ratios given in the problem. Let's say the number of students in the three classes initially is 2x, 3x, and 4x.
Given:
The ratio of the number of students in the three classes initially is 2:3:4
So, the number of students in the three classes initially can be written as 2x, 3x, and 4x.
The ratio of the number of students in the three classes after an increase of 12 students in each class is 8:11:14
So, the number of students in the three classes after the increase can be written as (2x + 12), (3x + 12), and (4x + 12).
Now, we can set up a proportion using the two ratios:
(2x + 12) : (3x + 12) : (4x + 12) = 8 : 11 : 14
To solve this proportion, we can cross-multiply:
8(3x + 12) = 11(2x + 12)
24x + 96 = 22x + 132
24x - 22x = 132 - 96
2x = 36
x = 36/2
x = 18
So, the number of students in the three classes initially is:
2x = 2(18) = 36
3x = 3(18) = 54
4x = 4(18) = 72
Therefore, the total number of students in the three classes in the beginning was:
36 + 54 + 72 = 162
Hence, the correct answer is option A) 162.
Given:
The ratio of the number of students in the three classes initially is 2:3:4
So, the number of students in the three classes initially can be written as 2x, 3x, and 4x.
The ratio of the number of students in the three classes after an increase of 12 students in each class is 8:11:14
So, the number of students in the three classes after the increase can be written as (2x + 12), (3x + 12), and (4x + 12).
Now, we can set up a proportion using the two ratios:
(2x + 12) : (3x + 12) : (4x + 12) = 8 : 11 : 14
To solve this proportion, we can cross-multiply:
8(3x + 12) = 11(2x + 12)
24x + 96 = 22x + 132
24x - 22x = 132 - 96
2x = 36
x = 36/2
x = 18
So, the number of students in the three classes initially is:
2x = 2(18) = 36
3x = 3(18) = 54
4x = 4(18) = 72
Therefore, the total number of students in the three classes in the beginning was:
36 + 54 + 72 = 162
Hence, the correct answer is option A) 162.
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The number of students in 3 classes is in the ratio 2:3:4. If 12 students are increased in each class this ratio changes to 8:11:14. The total number of students in the three classes in the beginning wasa)162b)108c)96d)54Correct answer is option 'A'. Can you explain this answer?
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The number of students in 3 classes is in the ratio 2:3:4. If 12 students are increased in each class this ratio changes to 8:11:14. The total number of students in the three classes in the beginning wasa)162b)108c)96d)54Correct answer is option 'A'. Can you explain this answer? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about The number of students in 3 classes is in the ratio 2:3:4. If 12 students are increased in each class this ratio changes to 8:11:14. The total number of students in the three classes in the beginning wasa)162b)108c)96d)54Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of students in 3 classes is in the ratio 2:3:4. If 12 students are increased in each class this ratio changes to 8:11:14. The total number of students in the three classes in the beginning wasa)162b)108c)96d)54Correct answer is option 'A'. Can you explain this answer?.
The number of students in 3 classes is in the ratio 2:3:4. If 12 students are increased in each class this ratio changes to 8:11:14. The total number of students in the three classes in the beginning wasa)162b)108c)96d)54Correct answer is option 'A'. Can you explain this answer? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about The number of students in 3 classes is in the ratio 2:3:4. If 12 students are increased in each class this ratio changes to 8:11:14. The total number of students in the three classes in the beginning wasa)162b)108c)96d)54Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of students in 3 classes is in the ratio 2:3:4. If 12 students are increased in each class this ratio changes to 8:11:14. The total number of students in the three classes in the beginning wasa)162b)108c)96d)54Correct answer is option 'A'. Can you explain this answer?.
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The number of students in 3 classes is in the ratio 2:3:4. If 12 students are increased in each class this ratio changes to 8:11:14. The total number of students in the three classes in the beginning wasa)162b)108c)96d)54Correct answer is option 'A'. Can you explain this answer?, a detailed solution for The number of students in 3 classes is in the ratio 2:3:4. If 12 students are increased in each class this ratio changes to 8:11:14. The total number of students in the three classes in the beginning wasa)162b)108c)96d)54Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of The number of students in 3 classes is in the ratio 2:3:4. If 12 students are increased in each class this ratio changes to 8:11:14. The total number of students in the three classes in the beginning wasa)162b)108c)96d)54Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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