CA Foundation Exam > CA Foundation Questions > The students of two classes are in the ratio ...
Start Learning for Free
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
Attention CA Foundation Students!
To make sure you are not studying endlessly, EduRev has designed CA Foundation study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CA Foundation.
|
Explore Courses for CA Foundation exam
|
|
Similar CA Foundation Doubts
Top Courses for CA FoundationView all
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?
Question Description
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?.
Solutions 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? in English & in Hindi are available as part of our courses for CA Foundation.
Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of
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?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an
ample number of questions to practice 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? tests, examples and also practice CA Foundation tests.
|
|
Explore Courses for CA Foundation exam
|
|
Suggested Free Tests
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