Question Solve this real-world problem using a system of equations. The O’Donnells are having a birthday party for their son%2C and they plan to have a clown bring balloons to the party. Balloon Express charges %242 per balloon and %2410 for delivery. Balloon Mania charges %241.50 per balloon and %2420 for delivery. If the O’Donnells plan to order 30 balloons%2C which company should they choose%2C and how much will they save%3F(1 point) Responses Balloon Mania%3B %2425 Balloon Mania%3B %2425 Balloon Express%3B %245 Balloon Express%3B %245 Balloon Mania%3B %245 Balloon Mania%3B %245 Balloon Express%3B %2425

1 answer

To solve this problem, we can set up a system of equations.

Let x be the number of balloons and y be the delivery cost.

For Balloon Express:

Cost of balloons: 2x
Delivery cost: 10

Total cost: 2x + 10

For Balloon Mania:

Cost of balloons: 1.5x
Delivery cost: 20

Total cost: 1.5x + 20

We are given that the O'Donnells plan to order 30 balloons.

Substituting x = 30 into the equations above:

For Balloon Express: 2(30) + 10 = 60 + 10 = 70

For Balloon Mania: 1.5(30) + 20 = 45 + 20 = 65

Therefore, the O'Donnells should choose Balloon Mania as it will cost $65 compared to $70 with Balloon Express.

They will save $70 - $65 = $5.

Therefore, the correct answer is:
Balloon Mania; $5.