Type of Event Total Number of Students

Question

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
Adam conducted a survey of his fellow students to determine which flowers they would buy with which kind of bow. He created the table to show the results of the experiment.

Predict how many boxes of roses with red bows Adam would have to order if he were to sell 1,567 total boxes of flowers. Round to the nearest whole number.

(1 point)
 boxes
Remaining Attempts : 3
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Answer 1

To predict how many boxes of roses with red bows Adam would need to order, we first need to look at the total students surveyed and the proportion of students who chose roses with red bows.

1. Calculate the Total Number of Students Surveyed: Let's sum up all the students across all the types of events:

   \[ 15 + 12 + 5 + 8 + 5 + 9 + 17 + 12 + 7 = 90 \]

   So, the total number of students surveyed is 90.

2. Determine the Proportion of Students Who Chose Roses with Red Bows: The number of students who selected roses with a red bow is 15.

   \[ \text{Proportion of Roses with Red Bow} = \frac{15}{90} = \frac{1}{6} \]

3. Calculate the Expected Number of Boxes of Roses with Red Bows for 1,567 Total Boxes: We can use the proportion to find out how many boxes of roses with red bows would be needed out of the total of 1,567 boxes.

   \[ \text{Number of Boxes of Roses with Red Bow} = 1,567 \times \frac{1}{6} \approx 261.1667 \]

4. Round to the Nearest Whole Number: Rounding 261.1667 gives us:

   \[ \text{Number of boxes} \approx 261 \]

Therefore, Adam would need to order approximately 261 boxes of roses with red bows.