Question

The ratios of punch mix to water for several fruit drinks are given in the table.

Punch Mix

Mix
Water
Grape
1 cups
3 cups
Cherry
5 cups
12 cups
Lemon
7 cups
12 cups
Orange
2 cups
3 cups

Which flavor has the greatest ratio of mix to water?
grape
cherry
lemon
orange

Answer 1

To find the flavor that has the greatest ratio of punch mix to water, we can calculate the ratio for each fruit drink:

1. **Grape**:
\[
\text{Ratio} = \frac{\text{Mix}}{\text{Water}} = \frac{1}{3} \approx 0.33
\]

2. **Cherry**:
\[
\text{Ratio} = \frac{5}{12} \approx 0.4167
\]

3. **Lemon**:
\[
\text{Ratio} = \frac{7}{12} \approx 0.5833
\]

4. **Orange**:
\[
\text{Ratio} = \frac{2}{3} \approx 0.6667
\]

Now, let's compare the ratios:

- Grape: 0.33
- Cherry: 0.4167
- Lemon: 0.5833
- Orange: 0.6667

The **orange** flavor has the greatest ratio of mix to water, approximately 0.6667.

Thus, the flavor with the greatest ratio of mix to water is **orange**.