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A total amount of Rs. 1200 is divided among 120 students. Each boy gets Rs. 8 and each girl gets Rs. 11. What is the number of boys?
- a)30
- b)40
- c)50
- d)60
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A total amount of Rs. 1200 is divided among 120 students. Each boy get...
Average amount each student gets
Boys : Girls = 1 : 2
Hence, Option B is correct.
Boys : Girls = 1 : 2
Hence, Option B is correct.
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A total amount of Rs. 1200 is divided among 120 students. Each boy get...
Problem Overview
We need to divide a total amount of Rs. 1200 among 120 students, where each boy receives Rs. 8 and each girl receives Rs. 11. Our goal is to find the number of boys.
Definitions and Variables
- Let the number of boys be represented as "b".
- Let the number of girls be represented as "g".
Formulating the Equations
1. Total Students Equation:
- The total number of students is 120.
- This can be written as:
- b + g = 120
2. Total Amount Equation:
- The total amount distributed is Rs. 1200.
- This can be represented as:
- 8b + 11g = 1200
Substituting Variables
To solve these equations, we can express "g" in terms of "b":
- From the first equation:
- g = 120 - b
Now, substitute "g" in the second equation:
- 8b + 11(120 - b) = 1200
Simplifying the Equation
Expanding the equation:
- 8b + 1320 - 11b = 1200
Combining like terms:
- -3b + 1320 = 1200
Now, isolating "b":
- -3b = 1200 - 1320
- -3b = -120
- b = 40
Conclusion
Thus, the number of boys is:
- b = 40
Therefore, the correct answer is option b) 40.
We need to divide a total amount of Rs. 1200 among 120 students, where each boy receives Rs. 8 and each girl receives Rs. 11. Our goal is to find the number of boys.
Definitions and Variables
- Let the number of boys be represented as "b".
- Let the number of girls be represented as "g".
Formulating the Equations
1. Total Students Equation:
- The total number of students is 120.
- This can be written as:
- b + g = 120
2. Total Amount Equation:
- The total amount distributed is Rs. 1200.
- This can be represented as:
- 8b + 11g = 1200
Substituting Variables
To solve these equations, we can express "g" in terms of "b":
- From the first equation:
- g = 120 - b
Now, substitute "g" in the second equation:
- 8b + 11(120 - b) = 1200
Simplifying the Equation
Expanding the equation:
- 8b + 1320 - 11b = 1200
Combining like terms:
- -3b + 1320 = 1200
Now, isolating "b":
- -3b = 1200 - 1320
- -3b = -120
- b = 40
Conclusion
Thus, the number of boys is:
- b = 40
Therefore, the correct answer is option b) 40.
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Question Description
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