Let's break down the information given in the problem step by step.
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Let’s denote:
- Meg's points as \( M \)
- Tim's points as \( T \)
- John's points as \( J \)
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According to the problem:
- Meg has 18 points:
\( M = 18 \)
- Meg has 18 points:
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We know Meg has six times as many points as Tim:
\( M = 6T \)Substituting Meg's points: \[ 18 = 6T \]
To find Tim's points (\( T \)): \[ T = \frac{18}{6} = 3 \]
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John has 54 more points than Tim: \[ J = T + 54 \]
Substituting Tim's points: \[ J = 3 + 54 = 57 \]
Thus, John has 57 points.