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Answer:
The band members of sixth graders are 28.
The band members of seventh graders are 14.
The percentage of the band members eighth graders are 40% .
Step-by-step explanation
Formula
[tex]Percentage = \frac{Part\ value\times 100}{Total\ value}[/tex]
As given
There are 70 students in the school band.
40% of them are sixth graders, 20% are seventh graders, and the rest are eighth graders.
Now first find out the band members are sixth graders .
Percentage = 40%
Total value = 70
Put in the formula
[tex]40 = \frac{Number\ of\ band\ members\ are\ sixth\ graders\times 100}{70}[/tex]
[tex]Number\ of\ band\ members\ are\ sixth\ graders = \frac{40\times 70}{100}[/tex]
[tex]Number\ of\ band\ members\ are\ sixth\ graders = \frac{2800}{100}[/tex]
[tex]Number\ of\ band\ members\ are\ sixth\ graders = 28[/tex]
Therefore the number of band members are from sixth graders are 28 .
Now first find out the band members are seventh graders .
Percentage = 20%
Total value = 70
[tex]20 = \frac{Number\ of\ band\ members\ are\ seventh\ graders\times 100}{70}[/tex]
[tex]Number\ of\ band\ members\ are\ seventh\ graders = \frac{20\times 70}{100}[/tex]
[tex]Number\ of\ band\ members\ are\ seventh\ graders = \frac{1400}{100}[/tex]
[tex]Number\ of\ band\ members\ are\ seventh\ graders = 14[/tex]
Therefore the number of band members are from seventh graders are 14.
Now find out the percentage of the eighth graders of the band members.
Total number of band members = sixth graders members + seventh grade members + eighth graders members
As sixth graders members = 28
seventh grade members = 14
Total number of band members = 70
Put in the above
70 = 28 + 14 + eighth graders members
70 - 42 = eighth graders members
28 = eighth graders members
Put in the percentage formula
[tex]Percentage = \frac{28\times 100}{70}[/tex]
[tex]Percentage = \frac{2800}{70}[/tex]
Percentage = 40%
Therefore the percentage of the band members are eighth graders is 40 %.
Answer:
The band members of sixth graders are 28.
The band members of seventh graders are 14.
The percentage of the band members eighth graders are 40% .
Step-by-step explanation
Formula
As given
There are 70 students in the school band.
40% of them are sixth graders, 20% are seventh graders, and the rest are eighth graders.
Now first find out the band members are sixth graders .
Percentage = 40%
Total value = 70
Put in the formula
Therefore the number of band members are from sixth graders are 28 .
Now first find out the band members are seventh graders .
Percentage = 20%
Total value = 70
Step-by-step explanation:
Therefore the number of band members are from seventh graders are 14.
Now find out the percentage of the eighth graders of the band members.
Total number of band members = sixth graders members + seventh grade members + eighth graders members
As sixth graders members = 28
seventh grade members = 14
Total number of band members = 70
Put in the above
70 = 28 + 14 + eighth graders members
70 - 42 = eighth graders members
28 = eighth graders members
Put in the percentage formula
Percentage = 40%
Therefore the percentage of the band members are eighth graders is 40 %.
