To summarize the situation:
- Let \( x \) represent the number of students in the journalism club.
- There are 7 fewer students in the art club than in the journalism club, so the number of students in the art club is \( x - 7 \).
- There are 25% more students in the chess club than in the art club. This means the chess club has 125% of the students in the art club:
- If \( a \) is the number of students in the art club, then the number of students in the chess club is \( 1.25a \).
- Since the chess club has a total of 15 students, we can write the equation:
\[ 1.25(x - 7) = 15 \]
Now, let's solve the equation:
1.25(x - 7) = 15
1.25x - 8.75 = 15
1.25x = 15 + 8.75
1.25x = 23.75
x = 23.75 / 1.25
x = 19
The number of students in the journalism club is 19.
Summary of Answers:
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Tape Diagram for the Art Club: Representing the number of students in the art club can be:
- \( \text{Art} = x - 7 \)
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Tape Diagram for the Chess Club: Representing the number of students in the chess club can be:
- \( \text{Chess} = 15 \)
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Equation in Words: 125% of the art club = chess club.
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Equation to Represent the Situation:
\[ 1.25(x - 7) = 15 \]
Thus, you can restate the problem this way: "125% of the number of students in the art club equals the total number of students in the chess club."
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