Answer:
56 students
Step-by-step explanation:
Given information:
• 448 students total
• [tex]\frac{3}{8}[/tex] of 448 participate in after-school activities
• [tex]\frac{1}{3}[/tex] of those [tex]\frac{3}{8}[/tex] get home after 7 pm
To find how many students is [tex]\frac{1}{3}[/tex] of those who participate in after-school activities, you first need to find the exact number of how many participate in after school activities:
The amount of students who participate in after-school activities is [tex]\frac{3}{8}[/tex] the total number of students. So, multiply 448 × [tex]\frac{3}{8}[/tex]:
448 × [tex]\frac{3}{8}[/tex] Multiply.
[tex]\frac{1344}{8}[/tex] Simplify into a whole number.
1344 ÷ 8 Divide.
168
[tex]\frac{3}{8}[/tex] of the total students is 168 students.
To find the amount of students that do not get home until after 7 pm, multiply 168 by [tex]\frac{1}{3}[/tex]:
168 × [tex]\frac{1}{3}[/tex] Multiply.
[tex]\frac{168}{3}[/tex] Simplify into a whole number.
168 ÷ 3 Divide.
56
The amount of students that participate in after-school activities and get home after 7 pm is 56 students.
