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!

multiplication is multiplication.   it might feel harder depending on what level of math you are in, but generally it will be the same old stuff, while implementing some new concepts and methods of solving work.

ending amount = beginning amount / (2^n)

where "n" = number of half-lives (or elapsed time / half-life)

ending amount = 50 mg / (2 ^10 / 5.3)

ending amount = 50 mg / (2 ^ 1.8867924528)

ending amount = 50 m / 3.6981210597

ending amount = 13.5203794557 mg

or about 13.5 mg remain

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