Question

There are 64 students in a middle school band. Five out of every eight are in the 7th grade

Part A : What are the number of students in each section?

Part B: What are the number of students in the band who are in the 7th grade?

Answer 1

Part A: To find the number of students in each section, we need to divide the total number of students (64) by the fraction representing the proportion of students in the 7th grade. The proportion of students in the 7th grade is 5/8.

So, the number of students in each section is (64)/(5/8) = (64)*(8/5) = 102.4. Since we can't have a fraction of a student, we round down to the nearest whole number. Therefore, there are 102 students in each section.

Part B: To find the number of students in the band who are in the 7th grade, we multiply the total number of students (64) by the fraction representing the proportion of 7th graders (5/8).

So, the number of students in the band who are in the 7th grade is (64)*(5/8) = 40.