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 Mania; $5 Balloon Mania; $5 Balloon Express; $5 Balloon Express; $5 Balloon Express; $25 Balloon Express; $25 Balloon Mania; $25

1 answer

Let's assign variables to the unknown quantities in this problem. Let x be the number of balloons the O'Donnells order from Balloon Express, and let y be the number of balloons they order from Balloon Mania.

According to the information given, we know that the O'Donnells plan to order a total of 30 balloons:

x + y = 30

We also know the cost of the balloons and delivery from each company. From Balloon Express, they charge $2 per balloon and $10 for delivery, so the total cost from Balloon Express would be 2x + 10. From Balloon Mania, they charge $1.50 per balloon and $20 for delivery, so the total cost from Balloon Mania would be 1.50y + 20.

To determine which company the O'Donnells should choose, we need to compare the total cost from each company. We can set up the following equation:

2x + 10 = 1.50y + 20

Now we have a system of two equations:

x + y = 30
2x + 10 = 1.50y + 20

We can solve this system of equations to find the values of x and y. However, it appears we do not have enough information to determine which company the O'Donnells should choose and how much they will save.