Question

What is the difference between the number of girls in school A and the number of girls in school B?

• A. 100
• B. 101
• C. 102
• D. 103
• A. 5134
• B. 5259
• C. 5334
• D. 5444
• A. 45.5%
• B. 47.5%
• C. 48.5%
• D. 49.5%
• A. 997:1012
• B. 997:1012
• C. 1000:1011
• D. 1000:1013
• A. School A
• B. School B
• C. School C
• D. School E

Answer 1

The Correct Option is C

From the graph provided, we can observe the number of girls in school A and school B. Step 1: Find the total number of girls in school A. From the graph, the total number of students in school A is 10035. The difference between boys and girls in school A is 373. Hence, the number of girls in school A is: \[ \text{Girls in school A} = \frac{10035 - 373}{2} = 4831 \]

Step 2: Find the total number of girls in school B. From the graph, the total number of students in school B is 10098. The difference between boys and girls in school B is 640. Hence, the number of girls in school B is: \[ \text{Girls in school B} = \frac{10098 - 640}{2} = 4729 \]

Step 3: Calculate the difference. The difference between the number of girls in school A and school B is: \[ \text{Difference} = 4831 - 4729 = 102 \]

Answer 2

Given the equations based on the student distribution in school F:
1. Boys + Girls = 10045
2. Boys - Girls = 473
3. Adding these two equations to solve for Boys: \[ \text{(Boys + Girls)} + (\text{Boys - Girls}) = 10045 + 473 \] \[ 2 \times \text{Boys} = 10518 \] \[ \text{Boys} = \frac{10518}{2} = 5259 \]

Answer 3

From the graph, we know the total number of students in school C is 10087. The difference between boys and girls in school C is 285. Step 1: Calculate the number of girls in school C. The number of girls in school C is: \[ \text{Girls in school C} = \frac{10087 - 285}{2} = \frac{9802}{2} = 4901 \]

Step 2: Calculate the percentage of girls. The percentage of girls in school C is: \[ \text{Percentage of girls} = \frac{4901}{10087} \times 100 \approx 48.5% \]

Answer 4

From the information given in the problem and based on the image, we have the following data:
- Total students in school D = 10081
- Total students in school E = 10009
- Boys minus Girls in school D = 475
- Boys minus Girls in school E = 625 Step 1: Calculate the number of boys and girls in each school. To find the number of boys and girls in school D: \[ \text{Boys in school D} = \frac{10081 + 475}{2} = 5278 \] \[ \text{Girls in school D} = \frac{10081 - 475}{2} = 4803 \] For school E: \[ \text{Boys in school E} = \frac{10009 + 625}{2} = 5317 \] \[ \text{Girls in school E} = \frac{10009 - 625}{2} = 4692 \]

Step 2: Sum the respective numbers for the required groups. \[ \text{Sum of Boys in school D and Girls in school E} = 5278 + 4692 = 9970 \] \[ \text{Sum of Girls in school D and Boys in school E} = 4803 + 5317 = 10120 \]

Step 3: Calculate the required ratio. The ratio of these two sums is: \[ \text{Ratio} = \frac{9970}{10120} \] This simplifies to approximately: \[ \text{Ratio} = 997:1012 \]

Answer 5

To determine the school with the least number of girls, we need to calculate the number of girls in each school from the given graph data. Step 1: Number of girls in each school. From the graph, the total number of students and the difference between boys and girls for each school are given. Using the formula: \[ \text{Number of girls} = \frac{\text{Total students} - \text{Difference between boys and girls}}{2} \] We can calculate the number of girls in each school as follows: - School A: Total = 10035, Difference = 375 \[ \text{Girls in A} = \frac{10035 - 375}{2} = 4840 \] - School B: Total = 10098, Difference = 640 \[ \text{Girls in B} = \frac{10098 - 640}{2} = 4739 \] - School C: Total = 10081, Difference = 285 \[ \text{Girls in C} = \frac{10081 - 285}{2} = 4759 \] - School E: Total = 10009, Difference = 423 \[ \text{Girls in E} = \frac{10009 - 423}{2} = 4809 \]

Step 2: Identify the school with the least number of girls. From the above calculations, School B has the least number of girls, which is 4739.