Solve this real world problem using a system of equations the O’Donnell are having a birthday party for their son and they plan to have a clown bring balloons to the party will express charges two dollars per balloon and $10 for delivery balloon mania charges $1.50 per balloon and $20 for delivery if the O’Donnell plan to order 30 balloons which company should they choose and how much will they?
Let x be the number of balloons ordered from Express and y be the number of balloons ordered from Balloon Mania.
The total cost for Express is:
2x + 10
The total cost for Balloon Mania is:
1.50y + 20
Given that the O’Donnells plan to order 30 balloons:
x + y = 30
Solving the system of equations:
2x + 10 = 1.50(30 - x) + 20
2x + 10 = 45 - 1.50x + 20
2x + 10 = 25 - 1.50x + 20
2x + 10 = 45 - 1.50x
3.50x = 35
x = 10
Substitute x back into x + y = 30:
10 + y = 30
y = 20
Therefore, the O'Donnells should choose Express to order 10 balloons and Balloon Mania to order 20 balloons.
The total cost for Express would be:
2(10) + 10 = $30
The total cost for Balloon Mania would be:
1.50(20) + 20 = $50
So, the O'Donnells should choose Balloon Mania for a cost of $50.