One-fourth of the girls and one-eighth of the boys in a class retake their school pictures. The photographer retakes pictures for 16 girls and 7 boys. How many students are in the class?

1 answer

Let \( g \) be the number of girls in the class and \( b \) be the number of boys in the class.

According to the problem, the number of girls who retake their school pictures is given by:

\[ \frac{1}{4} g \]

It is stated that the photographer retakes pictures for 16 girls, so we can write the equation:

\[ \frac{1}{4} g = 16 \]

To find \( g \), we multiply both sides by 4:

\[ g = 16 \times 4 = 64 \]

Next, we consider the boys. The number of boys who retake their pictures is given by:

\[ \frac{1}{8} b \]

It is stated that the photographer retakes pictures for 7 boys, leading to the equation:

\[ \frac{1}{8} b = 7 \]

To solve for \( b \), we multiply both sides by 8:

\[ b = 7 \times 8 = 56 \]

Now, we can find the total number of students in the class by adding the number of girls and boys:

\[ g + b = 64 + 56 = 120 \]

Thus, the total number of students in the class is

\[ \boxed{120} \]