Question

Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.

Pete is going to send some flowers to his wife. Westford Florist charges $2 per rose, plus $9 for the vase. Rose's Flowers, in contrast, charges $1 per rose and $25 for the vase. If Pete 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?


If the bouquet contains
roses, it will cost $
.

Answer 1

If the bouquet contains 16 roses, it will cost $41

How to determine and solve the system of equations

From the question, we have the following parameters that can be used in our computation:

• Westford Florist charges $2 per rose, plus $9 for the vase.
• Rose's Flowers, charges $1 per rose and $25 for the vase

Let the number of roses be x

So, we have

Westford = 2x + 9

Rose's Flowers = x + 25

When the costs are the same, we have

2x + 9 = x + 25

Evaluate

2x - x = 25 - 9

So, we have

x = 16

So, the total cost is

Cost = 16 + 25

Cost = 41

hence, the total cost is $41