Class A and Class B have the same number of pupils. The ratio of the number of boys in Class A to the number of boys in
class B is 3:2. The ratio of the number of girls in Class A to the number in Class B is 3:5. Find the ratio of the number of boys to the number of girls in Class A,
To find the ratio of the number of boys to the number of girls in Class A, we need to first determine the number of boys and girls in Class A and Class B separately.
Let's assume that the number of boys in Class A is 3x and the number of boys in Class B is 2x. Since both classes have the same number of pupils, the number of total pupils in Class A is equal to the number of total pupils in Class B.
Now, let's determine the number of girls in Class A and Class B. The ratio of the number of girls in Class A to Class B is 3:5. Let's assume the number of girls in Class A is 3y and the number of girls in Class B is 5y.
Since both classes have the same number of pupils, the total number of pupils in Class A is equal to the total number of pupils in Class B.
Therefore, we can write the equation: 3x + 3y = 2x + 5y.
To solve for x, we can simplify the equation: x = 2y.
Now, let's substitute the value of x in terms of y back into the equation for the number of boys in Class A: 3x = 3(2y) = 6y.
So, the number of boys in Class A is 6y.
Next, we substitute the value of x in terms of y back into the equation for the number of girls in Class A: 3y.
So, the number of girls in Class A is 3y.
The ratio of the number of boys to the number of girls in Class A is 6y:3y, which simplifies to 2:1. Therefore, the ratio of the number of boys to the number of girls in Class A is 2:1.