Final answer:
To calculate the ratio of roses to flowers that are not roses, add the carnations and lilies to get 17 and then compare this to the number of roses, which is 7, giving a ratio of 7:17.
Step-by-step explanation:
The student is asking for the ratio of roses to flowers that are not roses in a bouquet. To find this ratio, we need to first determine the total number of flowers that are not roses.
The bouquet contains 7 roses, 12 carnations, and 5 lilies. The flowers that are not roses are the carnations and lilies, which add up to 12 + 5 = 17 flowers.
Now, the ratio of roses to flowers that are not roses can be expressed as 7 (roses) to 17 (flowers that are not roses), or 7:17.