a sixth grade class has 12 boys and 24 girls consider this statement for every 2 boys there are 4 girls do you agree with this statement explain mathematically
This statement is correct as 12 is half of 24 and 2 is half of 4. We can also put this as the fraction 1/2 or 0.5 or 50% or 1:2. Therefore for every one bot there are two girls in the class.
Yes, the statement is mathematically correct.
It is given that:
A sixth grade class has 12 boys and 24 girls.
This means that the proportion of girls to boys is:
Ratio of number of girls to the number of boys.
i.e.
\(\text{Proportion of girls to boys}=\dfrac{24}{12}\\\\\text{Proportion of girls to boys}=2\)
Also,
For every 2 boys there are 4 girls.
This means that:
\(\text{Proportion of girls to boys}=\dfrac{4}{2}\\\\\text{Proportion of girls to boys}=2\)