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A group of 3 students are sharing 2 bags of apple chips. Another group of 6 students are sharing 4 bags of apple chips. The bags are the same size.
Which group would you rather be in? Explain.

A group of 33 students are sharing 22 bags of apple chips. Another group of 66 students are sharing 44 bags of apple chips. The bags are the same size.\newlineWhich group would you rather be in? Explain.

Full solution

Q. A group of 33 students are sharing 22 bags of apple chips. Another group of 66 students are sharing 44 bags of apple chips. The bags are the same size.\newlineWhich group would you rather be in? Explain.
  1. Determine Share per Student: First, let's determine the share of apple chips for each student in the group of 33 students.\newlineWe have 22 bags of apple chips shared among 33 students.\newlineTo find out how much each student gets, we divide the number of bags by the number of students.\newlineCalculation: 22 bags ÷\div 33 students = 23\frac{2}{3} bag per student.
  2. Calculate Share for Group of 33: Now, let's determine the share of apple chips for each student in the group of 66 students.\newlineWe have 44 bags of apple chips shared among 66 students.\newlineTo find out how much each student gets, we divide the number of bags by the number of students.\newlineCalculation: 44 bags ÷\div 66 students = 46\frac{4}{6} bag per student, which simplifies to 23\frac{2}{3} bag per student.
  3. Calculate Share for Group of 66: Comparing the shares, we see that each student in both groups gets the same amount: 23\frac{2}{3} of a bag.\newlineTherefore, neither group has a larger share per student than the other.\newlineFinal Answer: Both groups get the same amount per student, which is 23\frac{2}{3} of a bag.

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