Final answer:
To find the fraction of flower bouquets left unsold in the shop, calculate the number of unsold rose and lily bouquets and divide by the total number of bouquets. With 4 rose and 2 lily bouquets unsold out of a total of 17, the fraction remaining is 6/17.
Step-by-step explanation:
The student's question involves determining what fraction of flower bouquets was left unsold in the shop. To solve this, we start by looking at the initial number of bouquets of each type of flower. Assuming the shop started with the same number of rose bouquets as lily bouquets, we can infer from the question that there are 10 bouquets of roses and 7 bouquets of lilies.
Out of the rose bouquets, 6 were sold, leaving 4 unsold (10 - 6 = 4). For the lilies, 5 were sold, leaving 2 unsold (7 - 5 = 2). The total number of bouquets originally was 17 (10 roses + 7 lilies), and the number left unsold is 6 (4 roses + 2 lilies).
The fraction of bouquets left unsold is therefore 6/17. We get this by dividing the number of unsold bouquets by the total number of bouquets: 6 (unsold) ÷ 17 (total) = 6/17.