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In a class, 60% of the students are girls and the rest are boys. There are 30 more girls than boys. If 68% of the students, including 30 boys, pass an examination, the percentage of the girls who do not pass is
Correct answer is '20'. Can you explain this answer?
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In a class, 60% of the students are girls and the rest are boys. Ther...
Assuming the number of students=100x
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Hence, the number of girls = 60x and the number of boys = 40x
We have, 60x-40x=30 =>x=1.5
The number of girls = 60*1.5=90
Number of girls that pass = 68x – 30=68*1.5-30 = 102 – 30=72
The number of girls who do not pass = 90 – 72=18
Hence the percentage of girls who do not pass = 1800/90-20
Most Upvoted Answer
In a class, 60% of the students are girls and the rest are boys. Ther...
Given information:
- 60% of the students in the class are girls.
- The rest of the students are boys.
- There are 30 more girls than boys.
- 68% of the students, including 30 boys, pass an examination.
Let's solve the problem step by step:
Step 1: Find the ratio of girls to boys:
- Let's assume the total number of students in the class is "x".
- According to the given information, 60% of the students are girls. So, the number of girls is 60% of "x", which is 0.6x.
- The rest of the students are boys. So, the number of boys is the remaining 40% of "x", which is 0.4x.
- It is given that there are 30 more girls than boys. So, we can write the equation:
0.6x = 0.4x + 30
Step 2: Solve the equation:
- Subtracting 0.4x from both sides of the equation, we get:
0.6x - 0.4x = 30
0.2x = 30
- Dividing both sides of the equation by 0.2, we get:
x = 30 / 0.2
x = 150
Step 3: Calculate the number of girls and boys:
- Now that we know the total number of students in the class is 150, we can find the number of girls and boys.
- Number of girls = 0.6 * 150 = 90
- Number of boys = 0.4 * 150 = 60
Step 4: Calculate the number of students who pass the examination:
- It is given that 68% of the students pass the examination, including 30 boys.
- So, the number of students who pass the examination is 68% of 150, which is 0.68 * 150 = 102.
- Since 30 boys pass the examination, the remaining students who pass the examination are girls, which is 102 - 30 = 72.
Step 5: Calculate the percentage of girls who do not pass:
- The percentage of girls who do not pass the examination can be calculated as:
(Number of girls who do not pass / Total number of girls) * 100
- Number of girls who do not pass = Total number of girls - Number of girls who pass = 90 - 72 = 18.
- Percentage of girls who do not pass = (18 / 90) * 100 = 20%.
Therefore, the percentage of girls who do not pass the examination is 20%.
- 60% of the students in the class are girls.
- The rest of the students are boys.
- There are 30 more girls than boys.
- 68% of the students, including 30 boys, pass an examination.
Let's solve the problem step by step:
Step 1: Find the ratio of girls to boys:
- Let's assume the total number of students in the class is "x".
- According to the given information, 60% of the students are girls. So, the number of girls is 60% of "x", which is 0.6x.
- The rest of the students are boys. So, the number of boys is the remaining 40% of "x", which is 0.4x.
- It is given that there are 30 more girls than boys. So, we can write the equation:
0.6x = 0.4x + 30
Step 2: Solve the equation:
- Subtracting 0.4x from both sides of the equation, we get:
0.6x - 0.4x = 30
0.2x = 30
- Dividing both sides of the equation by 0.2, we get:
x = 30 / 0.2
x = 150
Step 3: Calculate the number of girls and boys:
- Now that we know the total number of students in the class is 150, we can find the number of girls and boys.
- Number of girls = 0.6 * 150 = 90
- Number of boys = 0.4 * 150 = 60
Step 4: Calculate the number of students who pass the examination:
- It is given that 68% of the students pass the examination, including 30 boys.
- So, the number of students who pass the examination is 68% of 150, which is 0.68 * 150 = 102.
- Since 30 boys pass the examination, the remaining students who pass the examination are girls, which is 102 - 30 = 72.
Step 5: Calculate the percentage of girls who do not pass:
- The percentage of girls who do not pass the examination can be calculated as:
(Number of girls who do not pass / Total number of girls) * 100
- Number of girls who do not pass = Total number of girls - Number of girls who pass = 90 - 72 = 18.
- Percentage of girls who do not pass = (18 / 90) * 100 = 20%.
Therefore, the percentage of girls who do not pass the examination is 20%.
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In a class, 60% of the students are girls and the rest are boys. There are 30 more girls than boys. If 68% of the students, including 30 boys, pass an examination, the percentage of the girls who do not pass isCorrect answer is '20'. Can you explain this answer?
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