Let's represent the number of balloons as "b" and the delivery fee as "d".
For Balloon Express, the total cost would be 2b + 10d.
For Balloon Mania, the total cost would be 1.50b + 20.
We are given that the O'Donnells plan to order 30 balloons, so we can substitute b = 30 into the equations:
For Balloon Express: 2(30) + 10d = 60 + 10d
For Balloon Mania: 1.50(30) + 20 = 45 + 20 = 65
We need to find the company that offers the lowest total cost. Comparing the two equations, we see that Balloon Express charges 60 + 10d and Balloon Mania charges 65.
To find the delivery fee "d" that makes the two costs equal, we can set the two equations equal to each other and solve for "d":
60 + 10d = 65
10d = 5
d = 0.5
We can plug this value of "d" back into one of the equations to find the total cost:
Balloon Express: 2(30) + 10(0.5) = 60 + 5 = 65
Therefore, the O'Donnells should choose Balloon Mania, and they will save $65 - $60 = $5.
The correct answer is:
D. $25 Balloon Mania; $5
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?
A. Balloon Express; $5
B. Balloon Mania; $25
C. Balloon Express; $25
D. $25 Balloon Mania; $5
1 answer