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?(1 point) Responses Balloon Express; $25 Balloon Express; $25 Balloon Mania; $25 Balloon Mania; $25 Balloon Mania; $5 Balloon Mania; $5 Balloon Express; $5
Let x be the number of balloons ordered from Balloon Express and y be the number of balloons ordered from Balloon Mania.
The total cost for Balloon Express is given by the equation:
2x + 10 = total cost
The total cost for Balloon Mania is given by the equation:
1.50y + 20 = total cost
Given that the O’Donnells plan to order 30 balloons, we know that:
x + y = 30
Using this system of equations, we can solve for x and y:
2x + 10 = 1.50y + 20
2x = 1.50y + 10
4x = 3y + 20
4x - 3y = 20
x + y = 30
Solving the system of equations:
4x - 3y = 20
x + y = 30
We find x = 20 and y = 10.
Therefore, the O'Donnells should choose Balloon Express, and they will save $5 compared to Balloon Mania.