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The average score of boys in an examination of a school is 71 and that of the girls is 73. The average score of the whole school in that examination is 71.8. Find the ratio of the number of boys to the number of girls that appeared in the examination.
  • a)
    4: 5
  • b)
    3: 2
  • c)
    3: 5
  • d)
    5: 2
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?
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The average score of boys in an examination of a school is 71 and that...
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The average score of boys in an examination of a school is 71 and that...

Given Data:

- Average score of boys = 71
- Average score of girls = 73
- Average score of whole school = 71.8

Let's assume:

- Number of boys = B
- Number of girls = G

Calculations:

- Total score of boys = 71 * B
- Total score of girls = 73 * G
- Total score of whole school = 71.8 * (B + G)

- According to the given data:
(Total score of boys + Total score of girls) / Total number of students = Total score of whole school
(71B + 73G) / (B + G) = 71.8

- Solving the above equation, we get:
71B + 73G = 71.8B + 71.8G
1.2G = 0.8B
G/B = 2/3

Ratio of boys to girls:

- The ratio of the number of boys to the number of girls is 3:2 (as G/B = 2/3)

Therefore, the correct answer is option 3:2.
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The average score of boys in an examination of a school is 71 and that of the girls is 73. The average score of the whole school in that examination is 71.8. Find the ratio of the number of boys to the number of girls that appeared in the examination.a)4: 5b)3: 2c)3: 5d)5: 2e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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