To solve this problem, we can create a system of equations.
Let's say x represents the number of balloons from Balloon Express and y represents the number of balloons from Balloon Mania.
From the given information, we can write the following equations:
Cost from Balloon Express: 2x + 10
Cost from Balloon Mania: 1.5y + 20
The O'Donnells plan to order 30 balloons, so x + y = 30 (balloons)
Now we can solve the system of equations:
1) 2x + 10 = 1.5y + 20
2) x + y = 30
We can rearrange equation 2 to solve for x: x = 30 - y
Substituting x in equation 1:
2(30 - y) + 10 = 1.5y + 20
60 - 2y + 10 = 1.5y + 20
70 - 2y = 1.5y + 20
Add 2y to both sides:
70 = 3.5y + 20
Subtract 20 from both sides:
50 = 3.5y
Divide both sides by 3.5:
y = 50/3.5
y = 14.29
Since we cannot have a fraction of a balloon, the O'Donnells should choose either 14 or 15 balloons from Balloon Mania.
Substituting y = 14 into equation 2:
x + 14 = 30
x = 30 - 14
x = 16
The O'Donnells should choose 16 balloons from Balloon Express and 14 balloons from Balloon Mania.
Comparing the costs:
Cost from Balloon Express: 2(16) + 10 = 32 + 10 = $42
Cost from Balloon Mania: 1.5(14) + 20 = 21 + 20 = $41
Therefore, the O'Donnells should choose Balloon Mania and they will save $1.
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?(1 point)
Responses
Balloon Mania; $25
Balloon Mania; $25
Balloon Mania; $5
Balloon Mania; $5
Balloon Express; $25
Balloon Express; $25
Balloon Express; $5
1 answer