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The 9 students in the Environmental Club represent 4% of the students in the seventh grade. How many students are in the seventh grade? Answer:

The 99 students in the Environmental Club represent 4% 4 \% of the students in the seventh grade. How many students are in the seventh grade?\newlineAnswer:

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Full solution

Q. The 99 students in the Environmental Club represent 4% 4 \% of the students in the seventh grade. How many students are in the seventh grade?\newlineAnswer:
  1. Understand Problem & Set Equation: Understand the problem and set up the equation.\newlineWe are given that 99 students represent 4%4\% of the total number of students in the seventh grade. We need to find the total number of students. To do this, we can set up the equation:\newline9=0.04×Total number of students9 = 0.04 \times \text{Total number of students}
  2. Solve for Total Students: Solve for the total number of students.\newlineTo find the total number of students, we divide the number of students in the club by the percentage they represent, expressed as a decimal.\newlineTotal number of students = 90.04\frac{9}{0.04}
  3. Perform Calculation: Perform the calculation.\newlineTotal number of students = 9/0.04=2259 / 0.04 = 225
  4. Verify Result: Verify the result.\newlineIf 99 students are 4%4\% of the total, then multiplying the total number of students by 4%4\% should give us 99.\newline225×0.04=9225 \times 0.04 = 9\newlineThis confirms that our calculation is correct.

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