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There are 70 students in the school band. 40% of them are sixth graders, 20% are seventh graders, and the rest are eighth graders. How many are eighth graders? Explain your reasoning. *

Respuesta :

Answer:

The answer would be 40% because if there are 40% 6th graders and 20% 7th graders 40 plus 20 = 60 so 60 plus 40 = 100%

Step-by-step explanation:

Answer:

The number of students from eighth grade in the band is 28.

Step-by-step explanation:

Given Information:

Total number of students in band = 70

Percentage of sixth grade students = 40%

Percentage of seventh grade student = 20%

Let , number of sixth grade student in band = x

number of seventh grade student in band  = y

and, the number of eighth grade student in band = z

Now, find the number of sixth and seventh grade students in band as:

[tex]x=(40*70)/100[/tex]

[tex]x=28[/tex]

similarly,

[tex]y=(20*70)/100[/tex]

[tex]y=14[/tex]

so, the number of students in band who are from eighth grade

[tex]z=70-(x+y)[/tex]

[tex]z=70-(28+14)[/tex]

[tex]z=70-42[/tex]

[tex]z=28[/tex]

Hence, the number of students from eighth grade in the band is 28.

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