Let's represent the number of balloons ordered from Balloon Express as "x" and the number of balloons ordered from Balloon Mania as "y".
According to the problem, we know that the O'Donnell's plan on ordering a total of 30 balloons, so we have the equation:
x + y = 30
The cost of balloons from Balloon Express is $2 per balloon, so the cost for x balloons from Balloon Express is 2x. Balloon Mania charges $1.50 per balloon, so the cost for y balloons from Balloon Mania is 1.5y.
Balloon Express also charges $10 for delivery, so the total cost from Balloon Express would be 2x + 10. Balloon Mania charges $20 for delivery, so the total cost from Balloon Mania would be 1.5y + 20.
Since the O'Donnell's plan on ordering 30 balloons, we have the equation:
2x + 10 = 1.5y + 20
Now, we can solve the system of equations:
x + y = 30
2x + 10 = 1.5y + 20
Rearranging the first equation, we have:
x = 30 - y
Substituting this into the second equation, we have:
2(30 - y) + 10 = 1.5y + 20
60 - 2y + 10 = 1.5y + 20
70 - 20 = 1.5y + 2y
50 = 3.5y
y = 50/3.5
y ≈ 14.29
Since the number of balloons needs to be a whole number, we round it up to 15.
Substituting y = 15 into the first equation, we have:
x + 15 = 30
x = 30 - 15
x = 15
So, if the O'Donnell's order 15 balloons from Balloon Express and 15 balloons from Balloon Mania, they would save money by choosing Balloon Express.
The total cost for Balloon Express would be:
2(15) + 10 = $40
The total cost for Balloon Mania would be:
1.5(15) + 20 = $42.50
By choosing Balloon Express, the O'Donnell's would save $42.50 - $40 = $2.50.
Solve this real-world problem using a system of equations. The O'Donnell's are having a birthday party for their son, and they plan to have a clown bring balloons to the party l. Balloon Express charge $2 per balloon and ten for delivery balloon mania charges $1.50 per balloon and $20 for delivery. If the O'Donnell's plan on ordering 30 balloons, which company should they choose and how much money would they save
1 answer
1 answer