To determine which company the O’Donnells should choose, we can set up a system of equations to calculate the total cost for both Balloon Express and Balloon Mania.
Balloon Express:
- Cost per balloon: $2
- Delivery charge: $10
- Total balloons: 30
The total cost can be expressed as: \[ \text{Cost}{\text{Express}} = 2 \times \text{number of balloons} + \text{delivery charge} \] \[ \text{Cost}{\text{Express}} = 2 \times 30 + 10 \] \[ \text{Cost}_{\text{Express}} = 60 + 10 = 70 \]
Balloon Mania:
- Cost per balloon: $1.50
- Delivery charge: $20
- Total balloons: 30
The total cost can be expressed as: \[ \text{Cost}{\text{Mania}} = 1.5 \times \text{number of balloons} + \text{delivery charge} \] \[ \text{Cost}{\text{Mania}} = 1.5 \times 30 + 20 \] \[ \text{Cost}_{\text{Mania}} = 45 + 20 = 65 \]
Now we compare the total costs:
- Total cost with Balloon Express: $70
- Total cost with Balloon Mania: $65
To find out which company the O’Donnells would save money with, we calculate the savings: \[ \text{Savings} = \text{Cost}{\text{Express}} - \text{Cost}{\text{Mania}} \] \[ \text{Savings} = 70 - 65 = 5 \]
The O’Donnells should choose Balloon Mania and will save $5.
Answer: Balloon Mania; $5
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