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The average score of boys in the examination of a school is 71 and that of the girls is 73.The average score of the school in the examination is 71.8.Find the ratio of the number of boys to the number of girls who appeared in the examination?
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Introduction:
In this problem, we are given the average scores of boys and girls in an examination, as well as the average score of the entire school. From this information, we need to find the ratio of the number of boys to the number of girls who appeared in the examination.
Given:
- Average score of boys = 71
- Average score of girls = 73
- Average score of the school = 71.8
Formula:
- Average = Sum of observations / Total number of observations
- Sum of observations = Average x Total number of observations
Solution:
Let the number of boys who appeared in the examination be x and the number of girls who appeared in the examination be y.
Finding the sum of scores:
- Sum of scores of boys = 71x
- Sum of scores of girls = 73y
- Sum of scores of the entire school = 71.8(x + y)
Finding the ratio:
We can use the given averages to form two equations:
- 71 = (Sum of scores of boys) / x
- 73 = (Sum of scores of girls) / y
We can rearrange these equations to get:
- Sum of scores of boys = 71x
- Sum of scores of girls = 73y
We can substitute these values into the equation for the sum of scores of the entire school:
- 71.8(x + y) = 71x + 73y
Simplifying this equation, we get:
- 71.8x + 71.8y = 71x + 73y
- 0.8x = 1.2y
- x/y = 1.5/1
Therefore, the ratio of the number of boys to the number of girls who appeared in the examination is 1.5:1.
Conclusion:
The ratio of the number of boys to the number of girls who appeared in the examination is 1.5:1.
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The average score of boys in the examination of a school is 71 and that of the girls is 73.The average score of the school in the examination is 71.8.Find the ratio of the number of boys to the number of girls who appeared in the examination?
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The average score of boys in the examination of a school is 71 and that of the girls is 73.The average score of the school in the examination is 71.8.Find the ratio of the number of boys to the number of girls who appeared in the examination? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The average score of boys in the examination of a school is 71 and that of the girls is 73.The average score of the school in the examination is 71.8.Find the ratio of the number of boys to the number of girls who appeared in the examination? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average score of boys in the examination of a school is 71 and that of the girls is 73.The average score of the school in the examination is 71.8.Find the ratio of the number of boys to the number of girls who appeared in the examination?.
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