Question

3 there are 70 students in the school band. 40% of them are sixth graders, 20% are seventh graders, and the rest are eighth graders. for each question, explain or show your reasoning: a. how many band members are sixth graders? b. how many band members are seventh graders?

Explanation:

Step1: Calculate the number of sixth - graders

To find the number of sixth - graders, we use the formula \(n = p\times N\), where \(p\) is the percentage (in decimal form) and \(N\) is the total number of students.
For sixth - graders, \(p = 40\%=0.4\) and \(N = 70\).
So, \(n_{6th}=0.4\times70\)

$$n_{6th}=28$$

Step2: Calculate the number of seventh - graders

For seventh - graders, \(p = 20\% = 0.2\) and \(N = 70\).
Using the formula \(n = p\times N\), we have \(n_{7th}=0.2\times70\)

$$n_{7th}=14$$

Answer:

a. The number of sixth - graders is \(28\).
b. The number of seventh - graders is \(14\).