To clarify the situation step-by-step, let’s follow through with the information given:
- Let \( x \) be the number of students in the journalism club.
- The number of students in the art club is \( x - 7 \) (7 fewer than the journalism club).
- The chess club has 25% more students than the art club. Since there are 15 students in the chess club, we can translate this into an equation.
We want to say that 125% (100% + 25%) of the art club is equal to the chess club. So, if the number of students in the art club is \( x - 7 \), we write:
\[ 1.25 \times (x - 7) = 15 \]
Now, let's solve for \( x \):
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Start with the equation: \[ 1.25(x - 7) = 15 \]
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Distributing \( 1.25 \): \[ 1.25x - 8.75 = 15 \]
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Add \( 8.75 \) to both sides: \[ 1.25x = 15 + 8.75 \] \[ 1.25x = 23.75 \]
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Divide both sides by \( 1.25 \): \[ x = \frac{23.75}{1.25} = 19 \]
Thus, \( x = 19 \).
Now, interpreting \( x = 19 \) in this situation:
What does \( x = 19 \) represent?
It means:
- There are 19 students in the journalism club.
So the correct answer is:
There are 19 students in the journalism club.
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