At a school, 40% of the sixth-grade students said that hip-hop is their favorite kind of music. If 100 sixth-grade students prefer hip hop music, how many sixth-grade students are at the school? Explain your reasoning. *

Respuesta :

Answer:

250

Step-by-step explanation:

You can solve this by cross-multiplication.

If one hundred sixth-grade students represent 40% of the total, you need to find the 100% so, multiply 100% by 100 students and then divide by 40% and you'll have the total sixth-grade students.

40%----100

100%--x=

[tex]X=(100*100)/40\\X=250[/tex]

fichoh

Using proportional relationship, the total number of sixth grade students in the school is 250.

  • Percentage who prefer hip hop = 40%
  • Number who prefer hip hop = 100

The total number of sixth grade student in the school can be calculated thus:

Let the total number of sixth graders = t

Total percentage of students = 100%

Hence,

40% = 100

100% = t

Cross multiply :

0.4t = 100

Divide both sides by 0.4

t = 100 ÷ 0.4

t = 250

Therefore, the total number of students in the school is 250

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