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; $25
Balloon Mania; $25
Balloon Mania; $5
Balloon Mania; $5
Balloon Express; $25
Let x be the number of balloons ordered from Balloon Express and y be the number of balloons ordered from Balloon Mania.
The total cost for Balloon Express is 2x + 10 and the total cost for Balloon Mania is 1.50y + 20.
Given that the O'Donnells plan to order 30 balloons, we have the equation x + y = 30.
To find out which company they should choose, we need to find the values of x and y that satisfy the total cost and total number of balloons ordered.
We can set up the following system of equations:
2x + 10 = 30
1.50y + 20 = 30
x + y = 30
Solving this system of equations, we get x = 20, y = 10.
Plug these values back into the total cost equations, we get:
2(20) + 10 = $50 for Balloon Express
1.50(10) + 20 = $35 for Balloon Mania
Therefore, the O'Donnells should choose Balloon Mania and they will save $15 by doing so.
The correct response is: Balloon Mania; $15