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. Ballon Express chargers $2 per ballon and $10 for delivery. Ballon mania chargers $1.50 per ballon and $20 for delivery. If the O’Donnells plan to order 30 balloons, which company should they choose, and how much will they save?
A. Ballon Mania;$5
B.Balloon Express;$5
C.Balloon express;$25
D. Balloon Mania;$25
Let's assume that the O'Donnells choose Balloon Express.
Let x be the number of balloons ordered.
Then the cost of balloons from Balloon Express would be 2x.
The cost of delivery from Balloon Express would be $10.
The total cost from Balloon Express would be the sum of the cost of balloons and the cost of delivery:
Total cost = 2x + 10
Now let's assume that the O'Donnells choose Balloon Mania.
The cost of balloons from Balloon Mania would be 1.50x.
The cost of delivery from Balloon Mania would be $20.
The total cost from Balloon Mania would be the sum of the cost of balloons and the cost of delivery:
Total cost = 1.50x + 20
Since the O'Donnells plan to order 30 balloons, we can substitute x = 30 into the equations above.
For Balloon Express:
Total cost = 2(30) + 10
Total cost = 60 + 10
Total cost = 70
For Balloon Mania:
Total cost = 1.50(30) + 20
Total cost = 45 + 20
Total cost = 65
Therefore, the O'Donnells should choose Balloon Mania and they will save $70 - $65 = $<<70-65=5>>5.
The correct answer is A. Balloon Mania; $5.