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In a class, 65% of students are boys. On a particular day 80% of girl students were present. What was the fraction of boys who were present that day to the total number of boys, if the total number of students present that day was 70%. 
  • a)
    42/65 
  • b)
    28/35 
  • c)
    7/9 
  • d)
    8/21 
Correct answer is option 'A'. Can you explain this answer?
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Given:
- In a class, 65% of students are boys.
- On a particular day, 80% of girl students were present.
- The total number of students present that day was 70%.

To find:
The fraction of boys who were present that day to the total number of boys.

Solution:
Let's assume the total number of students in the class as 100 (this is just for ease of calculation).

Number of Boys:
Given that 65% of students are boys,
Number of boys = (65/100) * 100 = 65.

Number of Girls:
Since the total number of students is 100, the number of girls can be calculated as:
Number of girls = Total number of students - Number of boys = 100 - 65 = 35.

Number of Girls Present:
Given that on a particular day, 80% of girl students were present,
Number of girls present = (80/100) * 35 = 28.

Number of Boys Present:
Since the total number of students present that day was 70%, we can calculate the total number of students present as:
Total number of students present = (70/100) * 100 = 70.

To find the number of boys present, we can use the following formula:
Number of boys present = Total number of students present - Number of girls present = 70 - 28 = 42.

Fraction of Boys Present to the Total Number of Boys:
The fraction of boys present to the total number of boys can be calculated as:
Fraction = Number of boys present / Number of boys = 42 / 65.

Simplifying the fraction, we get:
Fraction = (6 * 7) / (13 * 5) = 42/65.

Therefore, the fraction of boys who were present that day to the total number of boys is 42/65, which corresponds to option A.
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In a class, 65% of students are boys. On a particular day 80% of girl students were present. What was the fraction of boys who were present that day to the total number of boys, if the total number of students present that day was 70%.a)42/65b)28/35c)7/9d)8/21Correct answer is option 'A'. Can you explain this answer?
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