A florist was looking at her flower order. The ratio of roses to sunflowers was 4 to 9. When she was done, she realized there were 65 MORE sunflowers than roses. How many of each flower was there?

roses and sunflowers

Step-by-step explanation:

Since the ratio of roses to sunflowers is , we can represent how many there are of each as and , respectively. We know that there are more sunflowers than roses, so we can set up the following equation to solve for :

Solving for , we get:

(Subtract from both sides of the equation to isolate )

(Simplify)

(Symmetric Property of Equality)

(Divide both sides of the equation by to get rid of 's coefficient)

(Simplify)

Therefore, since , we know that there are roses and sunflowers. Hope this helps!