To find out how many boxes of roses with red bows Adam would need to order if he were selling a total of 1,567 boxes, first, we need to determine what proportion of the total responses in the survey were for roses with red bows.
From the table, the total number of students surveyed is:
- Roses and a Red Bow: 15
- Roses and a Yellow Bow: 12
- Roses and a Green Bow: 5
- Carnations and a Red Bow: 8
- Carnations and a Yellow Bow: 5
- Carnations and a Green Bow: 9
- Daisies and a Red Bow: 17
- Daisies and a Yellow Bow: 12
- Daisies and a Green Bow: 7
Now, add these numbers together to find the total number of students:
\[ 15 + 12 + 5 + 8 + 5 + 9 + 17 + 12 + 7 = 90 \]
Next, we find the proportion of students that selected roses with red bows:
\[ \text{Proportion of Roses and a Red Bow} = \frac{15}{90} \]
Now, calculate how many boxes of roses with red bows Adam would need for 1,567 total boxes:
\[ \text{Number of boxes with Roses and Red Bow} = 1,567 \times \frac{15}{90} \]
Now, calculate it:
\[ 1,567 \times \frac{15}{90} = 1,567 \times 0.1667 \approx 261.12 \]
Now round to the nearest whole number:
\[ \text{Rounded: } 261 \]
So, Adam would need to order approximately 261 boxes of roses with red bows.