Question

Solve this real-world problem using a system of equations. The O’Donnells are having a birthday party for their son, and they plan to have a clown bring balloons to the party. Balloon Express charges $2 per balloon and $10 for delivery. Balloon Mania charges $1.50 per balloon and $20 for delivery. If the O’Donnells plan to order 30 balloons, which company should they choose, and how much will they save?(1 point)
Responses

Balloon Mania; $5
Balloon Mania; $5

Balloon Express; $5
Balloon Express; $5

Balloon Express; $25
Balloon Express; $25

Balloon Mania; $25 

Answer 1

Let's set up the equations based on the costs of ordering balloons from both companies.

**For Balloon Express:**

- Cost per balloon: $2
- Delivery fee: $10
- Total cost formula:
\[
C_{Express} = 2x + 10
\]
Where \(x\) is the number of balloons.

**For Balloon Mania:**

- Cost per balloon: $1.50
- Delivery fee: $20
- Total cost formula:
\[
C_{Mania} = 1.5x + 20
\]

Since the O’Donnells plan to order 30 balloons (\(x = 30\)), we can substitute this value into the cost equations for both companies.

**Calculating for Balloon Express:**
\[
C_{Express} = 2(30) + 10 = 60 + 10 = 70
\]

**Calculating for Balloon Mania:**
\[
C_{Mania} = 1.5(30) + 20 = 45 + 20 = 65
\]

**Comparing the total costs:**
- Cost from Balloon Express: $70
- Cost from Balloon Mania: $65

**Calculating the Savings:**
\[
\text{Savings} = C_{Express} - C_{Mania} = 70 - 65 = 5
\]

So, the O’Donnells should choose **Balloon Mania**, and they will save **$5**.

The correct response is:
**Balloon Mania; $5**.