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?
Let's use the variables B and D to represent the number of balloons and the delivery fee respectively for each company.
For Balloon Express:
B = 30 (they plan to order 30 balloons)
D = 10 (delivery fee is $10)
The cost for the balloons would be $2 per balloon, so the total cost would be:
C = 2B + D
C = 2(30) + 10
C = 70
For Balloon Mania:
B = 30 (they plan to order 30 balloons)
D = 20 (delivery fee is $20)
The cost for the balloons would be $1.50 per balloon, so the total cost would be:
C = 1.5B + D
C = 1.5(30) + 20
C = 65
Therefore, the O’Donnells should choose Balloon Mania, and they will save $5.