Let's start by setting up a system of equations:
Let x be the number of balloons ordered from Balloon Express and y be the number of balloons ordered from Balloon Mania.
So our system of equations will be:
2x + 10 = total cost from Balloon Express
1.5y + 20 = total cost from Balloon Mania
Also, the total number of balloons ordered is 30:
x + y = 30
Now we can solve this system of equations.
We can solve for x in terms of y from the second equation:
x = 30 - y
Substitute x in terms of y into the first equation:
2(30 - y) + 10 = 1.5y + 20
60 - 2y + 10 = 1.5y + 20
70 - 2y = 1.5y + 20
50 = 3.5y
y = 14.29
Now, we can find x:
x = 30 - y
x = 30 - 14.29
x = 15.71
This means that the O'Donnell's should order 15 balloons from Balloon Express and 15 balloons from Balloon Mania.
Total cost from Balloon Express:
2(15) + 10 = $40
Total cost from Balloon Mania:
1.5(15) + 20 = $42.50
Therefore, the O'Donnell's should choose Balloon Express and save $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. Balloon express charges $2 per balloon and $10 for delivery. Balloon mania charges $1.50 per balloon and $20 for delivery. If the O'Donnell's plan to order 30 balloons which company should they choose and how much will they save?
1 answer