Subjects algebra

Pirates Game Ratios

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1. The problem asks to write ratios and identify them as part-to-whole or part-to-part. 2. Ratio 1: Number of games won to number of games lost. - Games won = 98 - Games lost = 45 - Ratio = $\frac{98}{45}$ - This is a part-to-part ratio because it compares two parts of the whole (wins vs losses). 3. Ratio 2: Number of games won to number of games played. - Games won = 98 - Games played = 162 (not 151; 162 total games in season) - Ratio = $\frac{98}{162}$ - This is a part-to-whole ratio because it compares a part (wins) to the whole (total games). 4. Ratio 3: Number of games lost to number of games played. - Games lost = 45 - Games played = 162 - Ratio = $\frac{45}{162}$ - This is a part-to-whole ratio. 5. Ratio 4: Number of games won at home to number of games won away. - Games won at home = 53 - Games won away = Total wins - home wins = 98 - 53 = 45 - Ratio = $\frac{53}{45}$ - This is a part-to-part ratio. 6. Ratio 5: Number of games won at home to number of games won. - Games won at home = 53 - Games won total = 98 - Ratio = $\frac{53}{98}$ - This is a part-to-whole ratio. Summary: - Ratio 1: $\frac{98}{45}$ part-to-part - Ratio 2: $\frac{98}{162}$ part-to-whole - Ratio 3: $\frac{45}{162}$ part-to-whole - Ratio 4: $\frac{53}{45}$ part-to-part - Ratio 5: $\frac{53}{98}$ part-to-whole Each ratio is written as a fraction with numerator over denominator representing the quantities compared.