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A museum requires a minimum number of chaperones proportional to the number of students on a field trip. The museum requires a minimum of 3 chaperones for a field trip with 24 students. Which of the following could be combinations of values for the students and the minimum number of chaperones the museum requires? Choose 2 answers: A Students: 72 Minimum number of chaperones: 9 B Students: 16 Minimum number of chaperones: 2 C Students: 60 Minimum number of chaperones: 6 D Students: 45 Minimum number of chaperones: 5 E Students: 40 Minimum number of chaperones: 8

A museum requires a minimum number of chaperones proportional to the number of students on a field trip. The museum requires a minimum of 33 chaperones for a field trip with 2424 students.\newlineWhich of the following could be combinations of values for the students and the minimum number of chaperones the museum requires?\newlineChoose 22 answers:\newlineA Students: 7272\newlineMinimum number of chaperones: 99\newlineB Students: 1616\newlineMinimum number of chaperones: 22\newlineC Students: 6060\newlineMinimum number of chaperones: 66\newlineD Students: 4545\newlineMinimum number of chaperones: 55\newlineE Students: 4040\newlineMinimum number of chaperones: 88\newline

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Q. A museum requires a minimum number of chaperones proportional to the number of students on a field trip. The museum requires a minimum of 33 chaperones for a field trip with 2424 students.\newlineWhich of the following could be combinations of values for the students and the minimum number of chaperones the museum requires?\newlineChoose 22 answers:\newlineA Students: 7272\newlineMinimum number of chaperones: 99\newlineB Students: 1616\newlineMinimum number of chaperones: 22\newlineC Students: 6060\newlineMinimum number of chaperones: 66\newlineD Students: 4545\newlineMinimum number of chaperones: 55\newlineE Students: 4040\newlineMinimum number of chaperones: 88\newline
  1. Given Requirement: We are given that the museum requires a minimum of 33 chaperones for every 2424 students. To find the correct combinations, we need to determine if the ratio of students to chaperones is the same as 2424 students to 33 chaperones, which simplifies to 88 students to 11 chaperone.
  2. Option A: Let's check option A: 7272 students and 99 chaperones. We divide the number of students by the number of chaperones to see if it matches the ratio of 8:18:1. \newline72÷9=872 \div 9 = 8\newlineSince 88 students per chaperone is the same ratio as the given requirement, option A is correct.
  3. Option B: Now let's check option B: 1616 students and 22 chaperones. Again, we divide the number of students by the number of chaperones.\newline16÷2=816 \div 2 = 8\newlineThis also matches the ratio of 88 students per chaperone, so option B is correct.
  4. Option C: Next, we check option C: 6060 students and 66 chaperones. We divide the number of students by the number of chaperones.\newline60÷6=1060 \div 6 = 10\newlineThis does not match the ratio of 88 students per chaperone, so option C is incorrect.
  5. Option D: Let's check option D: 4545 students and 55 chaperones. We divide the number of students by the number of chaperones.\newline45÷5=945 \div 5 = 9\newlineThis does not match the ratio of 88 students per chaperone, so option D is incorrect.
  6. Option E: Finally, we check option E: 4040 students and 88 chaperones. We divide the number of students by the number of chaperones.\newline40÷8=540 \div 8 = 5\newlineThis does not match the ratio of 88 students per chaperone, so option E is incorrect.

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