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The students of two classes are in the ratio 5:7 if 10 students left from each class, the remaining students are in the ratio of 4:6 then the number of students in each class is?
Most Upvoted Answer
The students of two classes are in the ratio 5:7 if 10 students left f...
Given:
Ratio of students in two classes = 5:7
10 students left from each class
Remaining students ratio = 4:6
To find:
Number of students in each class
Solution:
Let the total number of students in the two classes be 5x and 7x respectively.
Step 1: Find the number of students left in each class after 10 students left
Number of students left in class 1 = 5x - 10
Number of students left in class 2 = 7x - 10
Step 2: Find the ratio of remaining students
Ratio of remaining students = 4:6 = 2:3
Let the number of remaining students in class 1 be 2y and in class 2 be 3y.
Step 3: Form equations using the given information
We know that the number of students left in each class is equal to the number of remaining students in the respective classes.
5x - 10 = 2y
7x - 10 = 3y
Step 4: Solve for x and y
Multiplying the first equation by 3 and the second equation by 2, we get:
15x - 30 = 6y
14x - 20 = 6y
Subtracting the second equation from the first, we get:
x = 10
Substituting x = 10 in either of the equations, we get:
2y = 20
y = 10
Step 5: Find the number of students in each class
Number of students in class 1 = 5x = 5(10) = 50
Number of students in class 2 = 7x = 7(10) = 70
Answer:
The number of students in class 1 is 50 and in class 2 is 70.
Ratio of students in two classes = 5:7
10 students left from each class
Remaining students ratio = 4:6
To find:
Number of students in each class
Solution:
Let the total number of students in the two classes be 5x and 7x respectively.
Step 1: Find the number of students left in each class after 10 students left
Number of students left in class 1 = 5x - 10
Number of students left in class 2 = 7x - 10
Step 2: Find the ratio of remaining students
Ratio of remaining students = 4:6 = 2:3
Let the number of remaining students in class 1 be 2y and in class 2 be 3y.
Step 3: Form equations using the given information
We know that the number of students left in each class is equal to the number of remaining students in the respective classes.
5x - 10 = 2y
7x - 10 = 3y
Step 4: Solve for x and y
Multiplying the first equation by 3 and the second equation by 2, we get:
15x - 30 = 6y
14x - 20 = 6y
Subtracting the second equation from the first, we get:
x = 10
Substituting x = 10 in either of the equations, we get:
2y = 20
y = 10
Step 5: Find the number of students in each class
Number of students in class 1 = 5x = 5(10) = 50
Number of students in class 2 = 7x = 7(10) = 70
Answer:
The number of students in class 1 is 50 and in class 2 is 70.
Community Answer
The students of two classes are in the ratio 5:7 if 10 students left f...
5x-10/7x-10 =4/6
14x-20=15x-30
X=10
5*10-10/7*10 - 10=40/60
4:6
14x-20=15x-30
X=10
5*10-10/7*10 - 10=40/60
4:6
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The students of two classes are in the ratio 5:7 if 10 students left from each class, the remaining students are in the ratio of 4:6 then the number of students in each class is?
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The students of two classes are in the ratio 5:7 if 10 students left from each class, the remaining students are in the ratio of 4:6 then the number of students in each class is? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The students of two classes are in the ratio 5:7 if 10 students left from each class, the remaining students are in the ratio of 4:6 then the number of students in each class is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The students of two classes are in the ratio 5:7 if 10 students left from each class, the remaining students are in the ratio of 4:6 then the number of students in each class is?.
The students of two classes are in the ratio 5:7 if 10 students left from each class, the remaining students are in the ratio of 4:6 then the number of students in each class is? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The students of two classes are in the ratio 5:7 if 10 students left from each class, the remaining students are in the ratio of 4:6 then the number of students in each class is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The students of two classes are in the ratio 5:7 if 10 students left from each class, the remaining students are in the ratio of 4:6 then the number of students in each class is?.
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