the ratio of boys to girls in choir is 2:5. there are 9 more girls than boys. how many girls and boys are in the choir?
The ratio of boys to girls is 6:15 and to prove it is by dividing 6/3=2 and 15/3=5, as you can see, the ratio in the beginning was 2:5 and 6:15 can be simplified as far as it can go to 2:5.
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To find the number of boys and girls in the choir, we'll use algebra. Let's say the number of boys is represented by the variable "x", and the number of girls is represented by the variable "y".
According to the ratio given, the ratio of boys to girls is 2:5, which means that x/y = 2/5.
We also know that there are 9 more girls than boys, so y = x + 9.
Now we can solve this system of equations.
Step 1: Substitute y = x + 9 into the ratio equation.
x / (x + 9) = 2/5
Step 2: Cross-multiply to get rid of the fractions.
5x = 2(x + 9)
Step 3: Distribute on the right side of the equation.
5x = 2x + 18
Step 4: Subtract 2x from both sides.
5x - 2x = 18
Step 5: Simplify.
3x = 18
Step 6: Divide both sides by 3.
x = 6
Now that we know x = 6, we can substitute this value back into the equation y = x + 9 to find y.
y = 6 + 9
y = 15
Therefore, there are 6 boys and 15 girls in the choir.
b/g = 2/5, so 5b=2g
g = b+9
Now just solve for b and g.
Just don't do the question
Hope this helps