To determine how many roses and daffodils would be in 4 bouquets, we first look at the given quantities of roses and daffodils in one bouquet. According to the information, each bouquet contains:
- 4 roses
- 3 daffodils
Therefore, in 4 bouquets, the total number of each type of flower can be calculated as follows:
- Total roses in 4 bouquets = 4 bouquets × 4 roses/bouquet = 16 roses
- Total daffodils in 4 bouquets = 4 bouquets × 3 daffodils/bouquet = 12 daffodils
Next, we can create a table to present this information:
| Bouquets | Daffodils | Roses | |----------|-----------|-------| | 1 | 3 | 4 | | 2 | 6 | 8 | | 3 | 9 | 12 | | 4 | 12 | 16 |
Next, we need to analyze the table in context with the question about whether all the ratios can be simplified to \( \frac{3}{4} \) (the ratio of daffodils to roses).
In the table, the ratio of daffodils to roses for one bouquet is:
- \( \frac{3}{4} \) for 1 bouquet
- \( \frac{6}{8} \) for 2 bouquets, which simplifies to \( \frac{3}{4} \)
- \( \frac{9}{12} \) for 3 bouquets, which simplifies to \( \frac{3}{4} \)
- \( \frac{12}{16} \) for 4 bouquets, which simplifies to \( \frac{3}{4} \)
Since all ratios in the table can be simplified to \( \frac{3}{4} \), the correct response is:
The table is set up correctly because all ratios in the table can be simplified to \( \frac{3}{4} \).