To determine which balloon service the O'Donnells should choose and how much they will save, we can set up equations to represent the total cost for each company based on the number of balloons they plan to order (30 balloons).
For Balloon Express:
- Price per balloon = $2
- Delivery fee = $10
- Total cost equation: \(C_E = 2b + 10\)
Where \(b\) is the number of balloons (30).
So, substituting 30 for \(b\):
\[ C_E = 2(30) + 10 \] \[ C_E = 60 + 10 = 70 \]
For Balloon Mania:
- Price per balloon = $1.50
- Delivery fee = $20
- Total cost equation: \(C_M = 1.50b + 20\)
Again substituting 30 for \(b\):
\[ C_M = 1.50(30) + 20 \] \[ C_M = 45 + 20 = 65 \]
Now we compare the costs:
- Cost with Balloon Express: $70
- Cost with Balloon Mania: $65
To find out which company is cheaper:
\[ \text{Savings} = C_E - C_M = 70 - 65 = 5 \]
So, Balloon Mania is the cheaper option, and the O'Donnells will save $5.
Thus, they should choose:
Balloon Mania; $5
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