In a school total 360 students passed the exam, while 60% of total boys passed the exam and 40% of total girls passed the exam. If 66 ⅔% of total passed boys is 160, then find total students in the school.

Let's break down the information given step by step:

1. We know that 66 ⅔% of the total passed boys is 160. This means that if we find the total number of boys who passed the exam, we can calculate the total number of boys in the school.

2. To find the total number of boys who passed the exam, we can use the percentage given. Since 66 ⅔% is equivalent to 2/3, we can set up the following equation:

   (2/3) * Total Boys = 160

   To solve for Total Boys, we can multiply both sides of the equation by 3/2:

   Total Boys = (160 * 3/2) = 240

   So, the total number of boys in the school is 240.

3. Now, we need to find the total number of girls in the school. We know that 60% of the total boys passed the exam, which means that 40% of the total boys did not pass. Therefore, the percentage of boys who did not pass is 40%.

4. Since the percentage of boys who did not pass is 40%, we can set up the following equation:

   40% * Total Boys = Total Boys who did not pass

   To find the total number of boys who did not pass, we can calculate:

   (40/100) * 240 = 96

   So, the total number of boys who did not pass the exam is 96.

5. Now, we can find the total number of girls who passed the exam. We know that 40% of the total girls passed the exam, so the percentage of girls who did not pass is 60%.

6. We can set up the following equation to find the total number of girls who did not pass:

   60% * Total Girls = Total Girls who did not pass

   To find the total number of girls who did not pass, we can calculate:

   (60/100) * Total Girls = 96

   Solving for Total Girls, we get:

   Total Girls = (96 * 100) / 60 = 160

   So, the total number of girls in the school is 160.

7. Finally, to find the total number of students in the school, we can add the total number of boys and the total number of girls:

   Total Students = Total Boys + Total Girls

   Total Students = 240 + 160 = 400

   Therefore, the total number of students in the school is 400.

Let's break down the information given step by step:

1. We know that 66 ⅔% of the total passed boys is 160. This means that 2/3 of the total passed boys is 160. To find the total number of passed boys, we can multiply 160 by 3/2.

160 * 3/2 = 240

So, the total number of passed boys is 240.

2. We