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 Express; $25
Balloon Express; $25

Balloon Mania; $5
Balloon Mania; $5

Balloon Express; $5
Balloon Express; $5

Balloon Mania; $25 
Balloon Mania; $25 

Answer 1

Let's denote the number of balloons as \( x \). The O'Donnells are planning to order \( x = 30 \) balloons.

Cost calculations:

1. Balloon Express:

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

2. Balloon Mania:

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

Comparison of costs:

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

Savings: To find out how much they will save by choosing the cheaper option (Balloon Mania), we calculate: \[ \text{Savings} = \text{Cost from Balloon Express} - \text{Cost from Balloon Mania} \] \[ \text{Savings} = 70 - 65 = 5 \]

Therefore, the O'Donnells should choose Balloon Mania, and they will save $5.

The correct answer is: Balloon Mania; $5.