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?
A. Balloon Express; $25
B. Balloon Express; $5
C. Balloon Mania; $5
D.Balloon Mania; $25
Let \( x \) be the number of balloons ordered and \( y \) be the total cost for Balloon Express.
For Balloon Express:
\( 2x + 10 = y \)
For Balloon Mania:
\( 1.50x + 20 = y \)
Given that the O'Donnells plan to order 30 balloons:
\( x = 30 \)
Substitute \( x = 30 \) into the equations:
For Balloon Express:
\( 2(30) + 10 = y \)
\( 60 + 10 = y \)
\( 70 = y \)
For Balloon Mania:
\( 1.50(30) + 20 = y \)
\( 45 + 20 = y \)
\( 65 = y \)
Therefore, the O'Donnells should choose Balloon Mania, as they would save $5 compared to Balloon Express.
The correct answer is C. Balloon Mania; $5.