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????
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There are 9 boys in a youth choir of 36 people.
What is the ratio of girls to boys?
To find the new ratio of boys to girls, we need to determine the number of boys and girls in the original choir, as well as the number of boys and girls in the new choir.
Let's start by assigning variables to the number of boys and girls in the original choir. Let's say the number of boys is 4x, and the number of girls is 3x.
According to the given information, there are 6 more boys than girls in the original choir. So we can write an equation to represent this relationship:
4x - 3x = 6
Simplifying the equation, we have:
x = 6
Substituting this value back into our original variables, we find that there are 4(6) = 24 boys and 3(6) = 18 girls in the original choir.
Now, we are told that 2 more girls join the choir. To find the new ratio, we need to determine the new number of boys and girls.
The new number of girls is 18 + 2 = 20.
Therefore, the new ratio of boys to girls is 24:20.
However, ratios are usually simplified, so let's simplify this ratio by dividing both numbers by their greatest common divisor, which is 4:
24 ÷ 4 = 6
20 ÷ 4 = 5
Therefore, the new simplified ratio of boys to girls is 6:5.