Of the 400 7th graders at Emerson middle school 30% play in the band and 1/5 participate in sports no student does both is it reasonable to say that 100 students are neither in the band nor on any sports team explain

200 students  are neither in the band nor on any sports team

Step-by-step explanation:

To solve this problem we first have to calculate the students who play in the band and those who do sports

To calculate the students who play in the band we have to calculate 30% of the total number of students

30%  = 30/100

400 * 30/100 = 120

120 students play in the band

To calculate the students who do sport we have to multiply 1/5 by the total number of students

400 * 1/5 = 80

Now we have to subtract from the total the amount that they do sports or play in the band

(400 - 80) - 120 = 200

This means that 200 students  are neither in the band nor on any sports team

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