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; $5
Balloon Express; $5
Balloon Mania; $25
Balloon Mania; $25
Balloon Express; $25
Balloon Express; $25
Balloon Mania; $5
Let x be the number of balloons ordered from Balloon Express and y be the number of balloons ordered from Balloon Mania. The O'Donnells plan to order a total of 30 balloons.
The cost from Balloon Express would be 2x + 10 and the cost from Balloon Mania would be 1.50y + 20.
We can set up a system of equations:
x + y = 30
2x + 10 = 1.50y + 20
Solving this system of equations, we get x = 20 and y = 10.
The total cost from Balloon Express would be 2(20) + 10 = $50.
The total cost from Balloon Mania would be 1.50(10) + 20 = $35.
Therefore, the O'Donnells should choose Balloon Mania and they will save $15.
The correct response is: Balloon Mania; $15