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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; $25 Balloon Mania; $25 Balloon Express; $25 Balloon Express; $25 Balloon Mania; $5 Balloon Mania; $5 Balloon Express; $5

1 answer

To determine which company the O'Donnells should choose and how much they will save, we can set up the costs for each company's balloon service.

  1. Balloon Express:

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

  2. Balloon Mania:

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

Now, let's compare the total costs:

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

Next, we find out how much they will save by choosing Balloon Mania: \[ \text{Savings} = \text{Cost (Balloon Express)} - \text{Cost (Balloon Mania)} = 70 - 65 = 5 \text{ dollars} \]

The O'Donnells should choose Balloon Mania and they will save $5.

Final answer: Balloon Mania; $5.