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The students in 3 classes are in the ratio 3:4:5.If 20 students added in each class, the ratio becomes 5:6:7.Find the total no of students in all the 3 classes now ?
- a)160
- b)170
- c)180
- d)200
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The students in 3 classes are in the ratio 3:4:5.If 20 students added ...
Answer – C.180 Explanation : 5x+6x+7x+ 18x = 180 X=10
Check 3x+4x+5x = 12x = 120 120+60 = 180
Check 3x+4x+5x = 12x = 120 120+60 = 180
Most Upvoted Answer
The students in 3 classes are in the ratio 3:4:5.If 20 students added ...
Answer – C.180 Explanation : 5x+6x+7x+ 18x = 180 X=10
Check 3x+4x+5x = 12x = 120 120+60 = 180
Check 3x+4x+5x = 12x = 120 120+60 = 180
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The students in 3 classes are in the ratio 3:4:5.If 20 students added ...
Given:
Ratio of students in 3 classes = 3:4:5
Let the number of students in each class be 3x, 4x and 5x respectively.
Ratio of students in 3 classes after adding 20 students in each class = 5:6:7
Let the number of students in each class after adding 20 students be (3x + 20), (4x + 20), and (5x + 20) respectively.
We can set up the following equation:
(3x + 20)/(4x + 20) = 5/6
Solving for x, we get x = 20.
Therefore, the number of students in each class before adding 20 students is:
3x = 60
4x = 80
5x = 100
The total number of students in all 3 classes before adding 20 students is:
60 + 80 + 100 = 240
After adding 20 students in each class, the new number of students in each class is:
3x + 20 = 3(20) + 20 = 80
4x + 20 = 4(20) + 20 = 100
5x + 20 = 5(20) + 20 = 120
The total number of students in all 3 classes after adding 20 students in each class is:
80 + 100 + 120 = 300
Therefore, the correct answer is option C) 180.
Ratio of students in 3 classes = 3:4:5
Let the number of students in each class be 3x, 4x and 5x respectively.
Ratio of students in 3 classes after adding 20 students in each class = 5:6:7
Let the number of students in each class after adding 20 students be (3x + 20), (4x + 20), and (5x + 20) respectively.
We can set up the following equation:
(3x + 20)/(4x + 20) = 5/6
Solving for x, we get x = 20.
Therefore, the number of students in each class before adding 20 students is:
3x = 60
4x = 80
5x = 100
The total number of students in all 3 classes before adding 20 students is:
60 + 80 + 100 = 240
After adding 20 students in each class, the new number of students in each class is:
3x + 20 = 3(20) + 20 = 80
4x + 20 = 4(20) + 20 = 100
5x + 20 = 5(20) + 20 = 120
The total number of students in all 3 classes after adding 20 students in each class is:
80 + 100 + 120 = 300
Therefore, the correct answer is option C) 180.
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The students in 3 classes are in the ratio 3:4:5.If 20 students added in each class, the ratio becomes 5:6:7.Find the total no of students in all the 3 classes now ?a)160b)170c)180d)200e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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