To determine which table shows the greatest ratio of flour to sugar, we can calculate the ratio of flour to sugar for each entry in the tables.
Table A:
- 5 cups of flour to 2 cups of sugar: \( \frac{5}{2} = 2.5 \)
- 10 cups of flour to 4 cups of sugar: \( \frac{10}{4} = 2.5 \)
- 15 cups of flour to 6 cups of sugar: \( \frac{15}{6} = 2.5 \)
- 20 cups of flour to 8 cups of sugar: \( \frac{20}{8} = 2.5 \)
The average ratio for Table A is 2.5.
Table B:
- 5 cups of flour to 4 cups of sugar: \( \frac{5}{4} = 1.25 \)
- 10 cups of flour to 8 cups of sugar: \( \frac{10}{8} = 1.25 \)
- 15 cups of flour to 12 cups of sugar: \( \frac{15}{12} = 1.25 \)
- 20 cups of flour to 16 cups of sugar: \( \frac{20}{16} = 1.25 \)
The average ratio for Table B is 1.25.
Table C:
- 10 cups of flour to 5 cups of sugar: \( \frac{10}{5} = 2 \)
- 20 cups of flour to 10 cups of sugar: \( \frac{20}{10} = 2 \)
- 30 cups of flour to 15 cups of sugar: \( \frac{30}{15} = 2 \)
- 40 cups of flour to 20 cups of sugar: \( \frac{40}{20} = 2 \)
The average ratio for Table C is 2.
Table D:
- 10 cups of flour to 3 cups of sugar: \( \frac{10}{3} \approx 3.33 \)
- 20 cups of flour to 6 cups of sugar: \( \frac{20}{6} \approx 3.33 \)
- 30 cups of flour to 9 cups of sugar: \( \frac{30}{9} \approx 3.33 \)
- 40 cups of flour to 12 cups of sugar: \( \frac{40}{12} \approx 3.33 \)
The average ratio for Table D is approximately 3.33.
Now comparing the ratios:
- Table A: 2.5
- Table B: 1.25
- Table C: 2
- Table D: 3.33
Conclusion: Table D shows the greatest ratio of flour to sugar, approximately 3.33.