What is the ratio of the number of students taken together for the year 2008,2012 and 2013 in school A to the number of students taken together for the year, 2008,2012 and 2013 in school B?

Options

A. `229:153`
B. `101:117`
C. `153:229`
D. 117:101

Answer

To find the ratio of the number of students taken together for the years 2008, 2012, and 2013 in school A to the number of students taken together for the same years in school B, we will follow these steps:

### Step 1: Gather the data for School A
From the video transcript, we have the following data for School A:
- Year 2008: 640 students
- Year 2012: 900 students
- Year 2013: 750 students

### Step 2: Calculate the total number of students in School A
Now, we will add the number of students for the years 2008, 2012, and 2013:
\[ \text{Total for School A} = 640 + 900 + 750 \]
Calculating this:
\[ 640 + 900 = 1540 \]
\[ 1540 + 750 = 2290 \]
So, the total number of students in School A for the specified years is 2290.

### Step 3: Gather the data for School B
Next, we will look at the data for School B:
- Year 2008: 550 students
- Year 2012: 500 students
- Year 2013: 480 students

### Step 4: Calculate the total number of students in School B
Now, we will add the number of students for the years 2008, 2012, and 2013:
\[ \text{Total for School B} = 550 + 500 + 480 \]
Calculating this:
\[ 550 + 500 = 1050 \]
\[ 1050 + 480 = 1530 \]
So, the total number of students in School B for the specified years is 1530.

### Step 5: Find the ratio of total students in School A to School B
Now, we can find the ratio of the total number of students in School A to the total number of students in School B:
\[ \text{Ratio} = \frac{\text{Total for School A}}{\text{Total for School B}} = \frac{2290}{1530} \]

### Step 6: Simplify the ratio
To simplify the ratio, we can divide both numbers by their greatest common divisor (GCD). In this case, we can simplify:
\[ \frac{2290 \div 10}{1530 \div 10} = \frac{229}{153} \]

Thus, the final ratio of the number of students taken together for the years 2008, 2012, and 2013 in School A to the number of students in School B is:
\[ \text{Ratio} = 229 : 153 \]