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 Express; $5
Balloon Express; $5
Balloon Mania; $5
Balloon Mania; $5
Balloon Mania; $25
Balloon Mania; $25
Balloon Express; $25
Let x represent the number of balloons ordered from Balloon Express and y represent the number of balloons ordered from Balloon Mania.
The total cost for Balloon Express would be: 2x + 10
The total cost for Balloon Mania would be: 1.50y + 20
Since they plan to order 30 balloons in total, we have the equation: x + y = 30
Substitute x = 30 - y into the total cost equation for Balloon Express:
2(30 - y) + 10 = 60 - 2y + 10 = 70 - 2y
Substitute y = 30 into the total cost equation for Balloon Mania:
1.50(30 - y) + 20 = 45 - 1.50y + 20 = 65 - 1.50y
Now we set the two total cost equations equal to each other and solve for y:
70 - 2y = 65 - 1.50y
0.50y = 5
y = 10
So, they should choose Balloon Mania as they will save $5.