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)

Question

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 Mania; $5

Balloon Express; $5

Balloon Mania; $25

Balloon Express; $25

GPT 3.5 · Answer

To solve this problem using a system of equations, let's represent the number of balloons ordered as x.

The cost for Balloon Express would be 2x + 10.
The cost for Balloon Mania would be 1.5x + 20.

We know that the O'Donnells plan to order 30 balloons, so x = 30.

Substituting x = 30 into the equations, we get:
Cost for Balloon Express = 2(30) + 10 = 60 + 10 = 70
Cost for Balloon Mania = 1.5(30) + 20 = 45 + 20 = 65

Therefore, the O'Donnells should choose Balloon Mania, as it is cheaper. They will save $5 ($70 - $65).

So, the correct answer is Balloon Mania; $5.