The ratio of boys to girls in a school choir is 4:3. There are 6 more boys than girls. If another 2 girls join the choir, what will be the new ratio of boys to girls?

To solve this problem, we can follow these steps:

Step 1: Set up the original ratio equation:
Let the number of boys be 4x and the number of girls be 3x.

Step 2: Use the given information to create an equation:
According to the problem, there are 6 more boys than girls. Therefore, we can write the equation 4x = 3x + 6.

Step 3: Solve the equation to find the value of x:
Subtract 3x from both sides of the equation:
4x - 3x = 3x + 6 - 3x
x = 6

Step 4: Calculate the number of boys and girls in the choir:
Substitute the value of x back into the original equation:
Number of boys = 4x = 4 * 6 = 24
Number of girls = 3x = 3 * 6 = 18

Step 5: Calculate the original ratio of boys to girls:
Original ratio of boys to girls = 24:18 which can be simplified to 4:3.

Step 6: Calculate the new number of girls joining the choir:
According to the problem, 2 more girls are joining the choir. So the new number of girls is 18 + 2 = 20.

Step 7: Calculate the new ratio of boys to girls:
New ratio of boys to girls = 24:20 which can be simplified to 6:5.

Therefore, the new ratio of boys to girls in the choir is 6:5.

To solve this problem, we can first find the initial number of boys and girls. Let's assume the number of boys is 4x and the number of girls is 3x.

We're told that there are 6 more boys than girls, so we can set up the equation:
4x - 6 = 3x

Combining like terms, we get:
x = 6

Now, we can find the initial number of boys and girls:
Number of boys = 4x = 4 * 6 = 24
Number of girls = 3x = 3 * 6 = 18

The initial ratio of boys to girls is 24:18, which simplifies to 4:3.

Next, we're told that 2 more girls join the choir. This means the number of girls increases to 18 + 2 = 20.

Now, we can calculate the new ratio of boys to girls:
Number of boys: 24 (remains the same)
Number of girls: 20

Therefore, the new ratio of boys to girls is 24:20, which simplifies to 6:5.

So, the new ratio of boys to girls in the school choir will be 6:5.

If you are Katherine, this question was answered in your 1st post last night.

Please check your prior post for an answer before reposting.

I pasted the answer below.

Ratio = Boys : Girls = 4 : 3

4x = number of boys
3x = number of girls

4x - 6 = 3x
x = 6

4x = number of boys = 4 * 6 = 24
3x = number of girls = 3 * 6 = 18

If another 2 girls join the choir,
18 + 2 = 20 = new number of girls
24 = number of boys

New ratio = 24 : 20 = 6 : 5