The ratio of the number of boys to the number of 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 the number of boys to the number of girls in the school choir?
To find the new ratio of boys to girls in the school choir after 2 more girls join, we need to determine the current number of boys and girls in the choir.
Let's start by representing the number of boys as 4x and the number of girls as 3x, where x is the common ratio multiplier.
We know that the number of boys is 6 more than the number of girls. So, we can write the equation:
4x = 3x + 6
By subtracting 3x from both sides of the equation, we get:
x = 6
Now, we can substitute this value back into the expressions for boys and girls:
Number of boys = 4x = 4 * 6 = 24
Number of girls = 3x = 3 * 6 = 18
Currently, there are 24 boys and 18 girls in the choir.
When 2 more girls join, the new total number of girls becomes 18 + 2 = 20.
Therefore, the new ratio of boys to girls is:
24:20
However, we can simplify this ratio by dividing both sides by 4:
6:5
So, the new ratio of boys to girls in the school choir is 6:5.
current count:
boys --- 4x
girls ---- 3x
4x = 3x + 6
x = 6
there were 24 boys and 18 girls
after 2 girls are added,
new ratio is 24 : 20
= 6 : 5