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?

Responses

Balloon Express; $25

Balloon Mania; $25 

Balloon Express; $5

Balloon Mania; $5

1 answer

To solve this problem, we can set up a system of equations. Let's represent the number of balloons ordered as x.

For Balloon Express, the cost can be calculated as:
Cost_balloon_express = 2x + 10 (where 2x represents the cost of the balloons and 10 represents the delivery fee)

For Balloon Mania, the cost can be calculated as:
Cost_balloon_mania = 1.50x + 20 (where 1.50x represents the cost of the balloons and 20 represents the delivery fee)

Since the O'Donnells plan to order 30 balloons, we can plug in x=30 into the equations above to find the total cost.

Cost_balloon_express = 2(30) + 10 = 60 + 10 = 70
Cost_balloon_mania = 1.50(30) + 20 = 45 + 20 = 65

Therefore, the O'Donnells should choose Balloon Mania because they will save $5 by choosing them instead of Balloon Express.