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)

Question

Responses

Balloon Mania; $5
Balloon Mania; $5

Balloon Mania; $25 
Balloon Mania; $25 

Balloon Express; $25
Balloon Express; $25

Balloon Express; $5

Answer 1

To determine which company the O’Donnells should choose, we will calculate the total cost for each company based on their pricing structures.

1. Balloon Express:

   • Cost per balloon = $2
   • Delivery charge = $10
   • Total for 30 balloons: \[ \text{Total} = (2 \times 30) + 10 = 60 + 10 = 70 \]

2. Balloon Mania:

   • Cost per balloon = $1.50
   • Delivery charge = $20
   • Total for 30 balloons: \[ \text{Total} = (1.50 \times 30) + 20 = 45 + 20 = 65 \]

Now, we compare the total costs:

• Balloon Express: $70
• Balloon Mania: $65

Next, we can calculate how much the O’Donnells would save by choosing Balloon Mania: \[ \text{Savings} = \text{Cost of Balloon Express} - \text{Cost of Balloon Mania} = 70 - 65 = 5 \]

So, the correct choice for the O’Donnells is:

Balloon Mania; $5