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Ben and Corinne are filling goodie bags for a party. Each goodie bag needs an eraser, a bubble wand, and a few candy bar bites. Ben filled 2525 goodie bags in 2020 minutes. Corinne filled 2727 goodie bags in 2424 minutes. Who filled goodie bags at a faster pace?\newlineChoices:\newline(A) Ben\newline(B) Corinne

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One-step inequalities: word problemsright chevron icon

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Q. Ben and Corinne are filling goodie bags for a party. Each goodie bag needs an eraser, a bubble wand, and a few candy bar bites. Ben filled 2525 goodie bags in 2020 minutes. Corinne filled 2727 goodie bags in 2424 minutes. Who filled goodie bags at a faster pace?\newlineChoices:\newline(A) Ben\newline(B) Corinne
  1. Calculate Rate Ben: Calculate Ben's rate of filling goodie bags. He filled 2525 bags in 2020 minutes. Rate = number of bags / time in minutes.\newlineRate = 25 bags20 minutes=1.25\frac{25 \text{ bags}}{20 \text{ minutes}} = 1.25 bags per minute.
  2. Calculate Rate Corinne: Calculate Corinne's rate of filling goodie bags. She filled 2727 bags in 2424 minutes. Rate =number of bagstime in minutes= \frac{\text{number of bags}}{\text{time in minutes}}.\newlineRate =27 bags24 minutes=1.125 bags per minute.= \frac{27 \text{ bags}}{24 \text{ minutes}} = 1.125 \text{ bags per minute}.
  3. Compare Rates: Compare the rates. Ben's rate is 1.251.25 bags per minute and Corinne's rate is 1.1251.125 bags per minute. Since 1.25 > 1.125, Ben filled bags at a faster pace.

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