The ratio of students to adults on a field trip is 16 to 8. Which table correctly represents this ratio?

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Understand the Problem

The question is asking which table correctly represents the ratio of students to adults as 16 to 8. This means we need to identify a table where the relationship between students and adults maintains this ratio.

Answer

A
Answer for screen readers

The correct answer is A.

Steps to Solve

  1. Understand the given ratio The ratio of students to adults is given as $16:8$. This can be simplified to $2:1$ by dividing both parts by 8.

  2. Calculate the ratio for each table We will now check each table to see if the ratio simplifies to $2:1$.

  3. Check Table A For Table A:

  • Students: 2, Adults: 1 The ratio is $\frac{2}{1} = 2:1$.
  1. Check Table B For Table B:
  • Students: 1, Adults: 2 The ratio is $\frac{1}{2} = 1:2$, which does not match $2:1$.
  1. Check Table C For Table C:
  • Students: 1, Adults: 8 The ratio is $\frac{1}{8}$, which does not match $2:1$.
  1. Check Table D For Table D:
  • Students: 8, Adults: 1 The ratio is $\frac{8}{1} = 8:1$, which does not match $2:1$.
  1. Conclusion Only Table A maintains the $2:1$ ratio.

The correct answer is A.

More Information

The ratio $16:8$ simplifies to $2:1$, which means for every 2 students, there is 1 adult. Only Table A reflects this ratio consistently across all entries.

Tips

  • Misinterpreting the ratio and failing to simplify correctly.
  • Confusing the order of students and adults while calculating the ratio.

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