In a class of 500 students, 35% are girls and the rest are boys. 80% of girls and 60% boys passed in the exam. Find the percentage of difference between the girls and boys that failed the exam to the boys who failed.Question 10Answera.72 5/13b.73 5/13c.72 1/13d.73 1/13
Question
In a class of 500 students, 35% are girls and the rest are boys. 80% of girls and 60% boys passed in the exam. Find the percentage of difference between the girls and boys that failed the exam to the boys who failed.Question 10Answera.72 5/13b.73 5/13c.72 1/13d.73 1/13
Solution
Step 1: Calculate the number of girls and boys in the class.
35% of 500 students are girls, so there are 0.35 * 500 = 175 girls.
The rest are boys, so there are 500 - 175 = 325 boys.
Step 2: Calculate the number of girls and boys who passed the exam.
80% of girls passed the exam, so there are 0.8 * 175 = 140 girls who passed.
60% of boys passed the exam, so there are 0.6 * 325 = 195 boys who passed.
Step 3: Calculate the number of girls and boys who failed the exam.
The number of girls who failed is 175 - 140 = 35 girls.
The number of boys who failed is 325 - 195 = 130 boys.
Step 4: Calculate the percentage difference between the girls and boys who failed the exam to the boys who failed.
The difference between the number of girls and boys who failed is 130 - 35 = 95.
The percentage difference is (95 / 130) * 100 = 73.08%.
So, the answer is approximately 73 1/13.
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