Questions: Word problem involving fractions and multiplication At a certain school, 3/5 of the students are boys. Today, 2/5 of the boys brought their lunch. What fraction of the students are boys who brought their lunch today? Write your answer in simplest form.

$Word problem involving fractions and multiplication At a certain school, 3/5 of the students are boys. Today, 2/5 of the boys brought their lunch. What fraction of the students are boys who brought their lunch today? Write your answer in simplest form.$

Transcript text: Word problem involving fractions and multiplication At a certain school, $\frac{3}{5}$ of the students are boys. Today, $\frac{2}{5}$ of the boys brought their lunch. What fraction of the students are boys who brought their lunch today? Write your answer in simplest form.

Solution

Solution Steps

To find the fraction of students who are boys and brought their lunch, we need to multiply the fraction of students who are boys by the fraction of those boys who brought their lunch. This will give us the fraction of the total student population that are boys who brought their lunch. Finally, we simplify the resulting fraction to its simplest form.

Step 1: Determine the Fraction of Boys

The fraction of students who are boys is given as $ \frac{3}{5} $.

Step 2: Determine the Fraction of Boys Who Brought Lunch

The fraction of boys who brought their lunch is given as $ \frac{2}{5} $.

Step 3: Calculate the Fraction of Students Who Are Boys and Brought Lunch

To find the fraction of the total student population that consists of boys who brought their lunch, we multiply the two fractions: \[ \text{Fraction of boys who brought lunch} = \frac{3}{5} \times \frac{2}{5} = \frac{6}{25} \]