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 Express; $5
Balloon Express; $5

Balloon Mania; $5
Balloon Mania; $5

Balloon Mania; $25 
Balloon Mania; $25 

1 answer

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 2x + 10, and for Balloon Mania is 1.5y + 20.

Given that the total number of balloons ordered is 30, we have x + y = 30.

Solving the system of equations:

Balloon Express: 2x + 10 = 30(275), x = 15

Balloon Mania: 1.5y + 20 = 30(240), y = 15

The O'Donnells should choose Balloon Mania because they will save $5 compared to Balloon Express.