Question

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Real-World Systems of Equations Quick Check
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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 Express; $5
Balloon Express; $5

Balloon Express; $25
Balloon Express; $25

Balloon Mania; $5
Balloon Mania; $5

Balloon Mania; $25 

Answer 1

To solve this problem, let's first calculate the total cost for each company if the O’Donnells order 30 balloons.

**For Balloon Express:**
- Cost per balloon = $2
- Delivery charge = $10
- Total cost = (Cost per balloon * Number of balloons) + Delivery charge
- Total cost = (2 * 30) + 10 = 60 + 10 = $70

**For Balloon Mania:**
- Cost per balloon = $1.50
- Delivery charge = $20
- Total cost = (Cost per balloon * Number of balloons) + Delivery charge
- Total cost = (1.50 * 30) + 20 = 45 + 20 = $65

Now we compare the two total costs:
- Total cost for Balloon Express = $70
- Total cost for Balloon Mania = $65

Now to find how much they would save by choosing the cheaper option (Balloon Mania):
- Savings = Total cost for Balloon Express - Total cost for Balloon Mania
- Savings = 70 - 65 = $5

Based on this analysis, the O'Donnells should choose **Balloon Mania**, and they would save **$5**.

So the correct response would be: **Balloon Mania; $5**.