Question

In six grade class, 3/7 of the students are boys, and 5/8 of these boys are in Ms. Jones’ class. What fraction of the entire six grade class are the boys in Ms. Jones’ class?

Answer 1

Think of the entire population of 6th graders here. 3/7 are boys and 4/7 are girls. 5/8 of these boys are in Ms. Jones' class; that fraction would be (5/8)(3/7), or 15/56. This 15/56 represents the fraction of the entire sixth grade class who are in Ms. Jones' class.

Answer 2

Answer:   $\dfrac{15}{56}$ of the entire six grade are the boys in Ms. Jones' class.

Step-by-step explanation:  Given that in six grade class, $\dfrac{3}{7}$ of the students are boys and $\dfrac{5}{8}$ of these boys are in Ms. Jones' class.

We are to find the fraction of the entire class that are boys in Ms. Jones' class.

Let total number of students in six grade class be n.

Then, the number of boys in the six grade class will be

$n_s=\dfrac{3}{7}x=\dfrac{3x}{7}.$

Therefore, the number of boys in s. Jones' class is given by

$n_J=\dfrac{5}{8}\imes n_s=\dfrac{5}{8}\times\dfrac{3x}{7}=\dfrac{15}{56}x.$

Thus, $\dfrac{15}{56}$ of the entire six grade are the boys in Ms. Jones' class.