Question

Which table shows the greatest ratio of flour to sugar?

A.


Flour (cups) Sugar (cups)
5 2
10 4
15 6
20 8
B.


Flour (cups) Sugar (cups)
5 4
10 8
15 12
20 16
C.


Flour (cups) Sugar (cups)
10 5
20 10
30 15
40 20
D.


Flour (cups) Sugar (cups)
10 3
20 6
30 9
40 12

Answer 1

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**.