Afloral shop receives a $480 order for roses and carnations. the order contains twice as many roses as carnations. the prices per dozen for the roses and carnations are $23 and $34, respectively. how many, in dozens, of each type of flower are in the order?

12 dozens roses, 6 dozens carnations

Step-by-step explanation:

Let r be every dozen roses and c every dozen carnations.

Then, the price for dozens roses will be 23r and the price for dozens carnations will be 34c.

So the price for the total of roses and carnations together will be 480:

         (1)

"twice as many roses as carnations" means that if we multiply the quantity of dozens carnations by 2, it will be equal the quantity of dozens roses.

         (2)

then we substitute (2) in (1) as follows:

If c=6, then r=12 for (2).

Where c and r are the dozens of each flower.

8 a=24

Step-by-step explanation: