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The number of boys and girls in a class are in the ratio 7:5. the number of boys is 8 more than the number of girls. What is the total class strength?
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The number of boys and girls in a class are in the ratio 7:5. the numb...
Total Class Strength Calculation
To find the total class strength based on the given ratio of boys to girls, follow these steps:
Step 1: Understand the Ratio
- The ratio of boys to girls is given as 7:5.
- This means for every 7 boys, there are 5 girls.
Step 2: Set Up Variables
- Let the number of boys be 7x and the number of girls be 5x, where x is a common multiplier.
Step 3: Use the Given Information
- It is stated that the number of boys is 8 more than the number of girls.
- Therefore, we can write the equation:
7x = 5x + 8
Step 4: Solve for x
- Rearranging the equation gives:
7x - 5x = 8
2x = 8
x = 4
Step 5: Calculate the Number of Boys and Girls
- Now, substitute x back into the expressions for boys and girls:
- Number of boys = 7x = 7 * 4 = 28
- Number of girls = 5x = 5 * 4 = 20
Step 6: Find the Total Class Strength
- To find the total number of students in the class, add the number of boys and girls together:
Total class strength = Number of boys + Number of girls
Total class strength = 28 + 20 = 48
Conclusion
- The total class strength is 48 students.
This methodically shows how to use ratios and basic algebra to solve for the total number of students in a class based on the provided information.
To find the total class strength based on the given ratio of boys to girls, follow these steps:
Step 1: Understand the Ratio
- The ratio of boys to girls is given as 7:5.
- This means for every 7 boys, there are 5 girls.
Step 2: Set Up Variables
- Let the number of boys be 7x and the number of girls be 5x, where x is a common multiplier.
Step 3: Use the Given Information
- It is stated that the number of boys is 8 more than the number of girls.
- Therefore, we can write the equation:
7x = 5x + 8
Step 4: Solve for x
- Rearranging the equation gives:
7x - 5x = 8
2x = 8
x = 4
Step 5: Calculate the Number of Boys and Girls
- Now, substitute x back into the expressions for boys and girls:
- Number of boys = 7x = 7 * 4 = 28
- Number of girls = 5x = 5 * 4 = 20
Step 6: Find the Total Class Strength
- To find the total number of students in the class, add the number of boys and girls together:
Total class strength = Number of boys + Number of girls
Total class strength = 28 + 20 = 48
Conclusion
- The total class strength is 48 students.
This methodically shows how to use ratios and basic algebra to solve for the total number of students in a class based on the provided information.
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The number of boys and girls in a class are in the ratio 7:5. the number of boys is 8 more than the number of girls. What is the total class strength?
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The number of boys and girls in a class are in the ratio 7:5. the number of boys is 8 more than the number of girls. What is the total class strength? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The number of boys and girls in a class are in the ratio 7:5. the number of boys is 8 more than the number of girls. What is the total class strength? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of boys and girls in a class are in the ratio 7:5. the number of boys is 8 more than the number of girls. What is the total class strength?.
The number of boys and girls in a class are in the ratio 7:5. the number of boys is 8 more than the number of girls. What is the total class strength? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The number of boys and girls in a class are in the ratio 7:5. the number of boys is 8 more than the number of girls. What is the total class strength? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of boys and girls in a class are in the ratio 7:5. the number of boys is 8 more than the number of girls. What is the total class strength?.
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