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Question
- in the first game, kelly got a bowling score that was 9 points below her average. in the second game, kelly bowled a 126. what more do you need to know to be able to find kellys score in game 1?
Step1: Recall the average formula
The average formula is \( \text{Average}=\frac{\text{Sum of scores}}{\text{Number of games}} \). Let the average score be \( x \), the score of game 1 be \( y \), and the score of game 2 be \( 126 \). We know that \( y=x - 9 \).
Step2: Analyze the information needed
From the formula \( x=\frac{y + 126}{2} \), substituting \( y=x - 9 \) into it gives \( x=\frac{(x - 9)+126}{2} \). To solve for \( y \) (or \( x \) first), we need to know the number of games (which is 2, already implied) or the value of the average. Since we know the relationship between \( y \) and \( x \) (\( y=x - 9 \)) and the score of game 2 (\( 126 \)), the key missing piece is the average score.
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We need to know Kelly's average bowling score.