The ratio of students to adults on a field trip is 16 to 2. Which table correctly represents this ratio?

Steps to Solve

1. Understanding the Ratio The given ratio of students to adults is 16 to 2. This can be simplified by dividing both parts by 2, yielding a ratio of 8 to 1.

2. Calculating Ratios for Each Table We will check each table to see if it maintains the simplified ratio of 8 students for every 1 adult.

3. Table A Evaluation For Table A:

• Ratio:
  • 1 student : 8 adults → $1/8 = 0.125$
  • 2 students : 16 adults → $2/16 = 0.125$
  • 3 students : 24 adults → $3/24 = 0.125$

None match the required ratio of $8/1 = 8$.

4. Table B Evaluation For Table B:

• Ratio:
  • 1 student : 2 adults → $1/2 = 0.5$
  • 2 students : 4 adults → $2/4 = 0.5$
  • 3 students : 6 adults → $3/6 = 0.5$

None match the required ratio of $8/1 = 8$.

5. Table C Evaluation For Table C:

• Ratio:
  • 8 students : 1 adult → $8/1 = 8$
  • 16 students : 2 adults → $16/2 = 8$
  • 24 students : 3 adults → $24/3 = 8$

All match the required ratio of $8/1 = 8$.

6. Table D Evaluation For Table D:

• Ratio:
  • 2 students : 1 adult → $2/1 = 2$
  • 4 students : 2 adults → $4/2 = 2$
  • 6 students : 3 adults → $6/3 = 2$

None match the required ratio of $8/1 = 8$.

7. Conclusion Only Table C consistently demonstrates the correct ratio of students to adults.