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there are $40$ $7$ th graders in a club. if this is $80\%$ of the club, then how many students are in the club

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Solve percent word problems

Full solution

Q. there are

40

7

th graders in a club. if this is

80\%

of the club, then how many students are in the club

Understand Problem: Understand the problem and what is given. $\newline$ We know that $40$ $7$ th graders represent $80\%$ of the total number of students in the club. We need to find the total number of students in the club.
Set Up Equation: Set up the equation to find the total number of students. $\newline$ Let the total number of students in the club be $x$ . According to the problem, $80\%$ of $x$ is equal to $40$ . $\newline$ So, we can write the equation as $0.80 \times x = 40$ .
Solve Equation: Solve the equation for $x$ to find the total number of students. $\newline$ Divide both sides of the equation by $0.80$ to isolate $x$ . $\newline$ $x = \frac{40}{0.80}$
Perform Division: Perform the division to calculate the total number of students. $x = \frac{40}{0.80}$ $x = 50$
Verify Solution: Verify the solution. $\newline$ If there are $50$ students in the club, then $80\%$ of $50$ should be $40$ . $\newline$ $0.80 \times 50 = 40$ $\newline$ This confirms that our solution is correct.

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