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

Responses

Balloon Mania; $25 
Balloon Mania; $25 

Balloon Express; $5
Balloon Express; $5

Balloon Express; $25
Balloon Express; $25

Balloon Mania; $5

Answer 1

To solve this problem using a system of equations, we can set up the following equations:

Let x be the number of balloons ordered.
Let y be the total cost for Balloon Express.
Let z be the total cost for Balloon Mania.

For Balloon Express, the equation is: y = 2x + 10.
For Balloon Mania, the equation is: z = 1.50x + 20.

Since the O’Donnells plan to order 30 balloons, we can substitute x = 30 into the equations.

For Balloon Express: y = 2(30) + 10 = 60 + 10 = 70.
For Balloon Mania: z = 1.50(30) + 20 = 45 + 20 = 65.

Comparing the costs, the O’Donnells should choose Balloon Mania, as it will cost a total of $65, saving $5 compared to Balloon Express.

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