Question

Dwayne is going to send some flowers to his wife. Sparrowtown Florist charges $3 per rose,

plus $11 for the vase. Susan's Flowers, in contrast, charges $2 per rose and $36 for the vase.
If Dwayne 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 1

Dwayne would need to order 25 roses for the total cost to be the same at either flower shop. Whether he goes to Sparrowtown Florist or Susan's Flowers, the total cost would be $86.

Step-by-step explanation:

To determine how many roses Dwayne would need to order for the cost to be the same at either flower shop, we can set up an equation where the total cost of the flowers and vase from Sparrowtown Florist equals the total cost from Susan's Flowers. Let's denote the number of roses as x.

The cost at Sparrowtown Florist would be $3 per rose plus $11 for the vase, which gives us the equation 3x + 11. At Susan's Flowers, the cost is $2 per rose and $36 for the vase, so the equation for that cost is 2x + 36.

To find the number of roses where the costs are equal, we set the equations equal to each other:

3x + 11 = 2x + 36

We solve this linear equation by subtracting 2x from both sides:

3x - 2x + 11 = 2x - 2x + 36

x + 11 = 36

Then subtract 11 from both sides:

x = 36 - 11

x = 25

Dwayne would need to order 25 roses for the total cost to be the same.

To find the total cost, we can plug the value of x back into either original equation:

3(25) + 11 = $86

or

2(25) + 36 = $86

The total cost for either florist would be $86.