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 represent the cost of ordering balloons from Balloon Express as $2x + 10 and the cost of ordering balloons from Balloon Mania as $1.50x + 20, where x is the number of balloons ordered.
Since the O'Donnells plan to order 30 balloons, we can set up the following system of equations:
2(30) + 10 = 60 + 10 = 70
1.50(30) + 20 = 45 + 20 = 65
So, ordering balloons from Balloon Mania would cost $65, while ordering balloons from Balloon Express would cost $70.
Therefore, the O'Donnells should choose Balloon Mania and save $70 - $65 = $5.