To compare the ratios of sauce to dough for each recipe, we need to calculate the ratio for each row in the table. The ratio of sauce to dough can be expressed as:
\[ \text{Ratio} = \frac{\text{Tomato Sauce (ounces)}}{\text{Dough (ounces)}} \]
Let's calculate the ratios for each entry:
Juliet's Pizza Dough
- Row 1: \(\frac{6}{10} = 0.6\)
- Row 2: \(\frac{9}{15} = 0.6\)
- Row 3: \(\frac{12}{20} = 0.6\)
- Row 4: \(\frac{15}{25} = 0.6\)
- Row 5: \(\frac{18}{30} = 0.6\)
The ratio for Juliet's Pizza dough remains constant at \(0.6\) across all rows.
Adrian's Pizza Dough
- Row 1: \(\frac{6}{12} = 0.5\)
- Row 2: \(\frac{9}{18} = 0.5\)
- Row 3: \(\frac{12}{24} = 0.5\)
- Row 4: \(\frac{15}{30} = 0.5\)
- Row 5: \(\frac{18}{36} = 0.5\)
The ratio for Adrian's Pizza dough also remains constant at \(0.5\) across all rows.
Comparison of Ratios
- Juliet's pizza dough ratio: \(0.6\)
- Adrian's pizza dough ratio: \(0.5\)
Thus, we can infer the following statements:
- Adrian’s recipe has a greater ratio of sauce to dough. (False)
- Juliet’s recipe has a greater ratio of sauce to dough. (True)
- Adrian’s and Juliet’s recipes have equal ratios of sauce to dough. (False)
- The ratios can be compared by comparing 15 to 18 because 30 is in both dough columns. (False) (This statement is misleading. While the dough amounts for both recipes can be compared when using the ratios, the ratios themselves differ and shouldn't be compared solely based on common values.)
Conclusion
The only true statement is:
- Juliet’s recipe has a greater ratio of sauce to dough.