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 Express; $25
Balloon Express; $25

Balloon Mania; $5
Balloon Mania; $5

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. We can set up the following system of equations:

2x + 10 = 30 (total cost for Balloon Express)
1.50y + 20 = 30 (total cost for Balloon Mania)

Solving these equations, we get x = 10 balloons ordered from Balloon Express and y = 10 balloons ordered from Balloon Mania.

The total cost for Balloon Express is 2(10) + 10 = $30
The total cost for Balloon Mania is 1.50(10) + 20 = $35

Therefore, the O'Donnells should choose Balloon Express and they will save $5.

The correct response is: Balloon Express; $5