Question

there are 64 students in a middle school band. five out of every eight are in the 7th grade.
(a) build a diagram that shows, for all students in the band, the number who are in 7th grade and the number who are not. make sure to do these step

• drag to adjust the number of sections in the diagram below.
• fill in the input box to show how many students are in each section.

number of students in each section:
diagram showing total students, sections for in 7th grade and not in 7th grade with drag controls
(b) using the diagram, find the number of students in the band who are in 7th grade.
input box for number of students

Explanation:

Step1: Find students per section

Total students = 64, split into 8 equal groups.
$\frac{64}{8}=8$

Step2: Count 7th grade sections

5 out of 8 sections are 7th grade.
$5 \times 8 = 40$

Answer:

Number of students in each section: 8
Number of 7th grade students: 40

(For the diagram: Adjust to have 5 sections under "In the 7th grade" and 3 sections under "Not in the 7th grade", with each section representing 8 students)