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In a class of 49 students, the ratio of girls to boys is 4 ∶ 3. If 4 girls leave the class, the ratio of girls to boys would be
  • a)
    11 ∶ 7
  • b)
    8 ∶ 7
  • c)
    6 ∶ 5
  • d)
    9 ∶ 8
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
In a class of 49 students, the ratio of girls to boys is 4 3. If 4 gi...
Number of total students = 49 and ratio of girls and boys = 4 ∶ 3;
∴ Number of girls = 28 and number of boys = 21
When 4 girls leaves the class;
Number of girls = 24 and number of boys = 21
∴ Ratio of girls and boys = 24 ∶ 21 = 8 ∶ 7
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Most Upvoted Answer
In a class of 49 students, the ratio of girls to boys is 4 3. If 4 gi...


Given Information:
In the class, there are 49 students with a ratio of girls to boys being 4:3.

Calculating the number of girls and boys:
Let the number of girls be 4x and the number of boys be 3x.
Therefore, total students = 4x + 3x = 7x
Given, total students = 49
So, 7x = 49
x = 7
Number of girls = 4x = 4*7 = 28
Number of boys = 3x = 3*7 = 21

After 4 girls leave:
Number of girls = 28 - 4 = 24
Number of boys remains the same = 21

Calculating the new ratio:
New ratio of girls to boys = 24:21 = 8:7

Therefore, after 4 girls leave the class, the ratio of girls to boys becomes 8:7, which corresponds to option 'B'.
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In a class of 49 students, the ratio of girls to boys is 4 3. If 4 girls leave the class, the ratio of girls to boys would bea)11 7b)8 7c)6 5d)9 8Correct answer is option 'B'. Can you explain this answer?
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