Victor is going to send some flowers to his wife. Dayton Florist charges $3 per rose, plus $12 for the vase. Tammy's Flowers, in contrast, charges $2 per rose and $41 for the vase. If Victor orders the bouquet with a certain number of roses, the cost will be the same with either flower shop. How many roses would there be? What would the total cost be?

Answer: the costs would be the same if he orders 29 rose flowers.

Step-by-step explanation:

Let x represent the number of roses that Victor would order such that the cost will be the same with either flower shop.

Dayton Florist charges $3 per rose, plus $12 for the vase. This means that if he orders x rose flowers, the total amount that he would pay is

3x + 12

Tammy's Flowers, in contrast, charges $2 per rose and $41 for the vase. This means that if he orders x rose flowers, the total amount that he would pay is 2x + 41

For the costs to be the same, the number of rose flowers that he orders would be

3x + 12 = 2x + 41

3x - 2x = 41 - 12

x = 29