To solve this problem, we can set 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.
For Balloon Express:
Cost = 2x + 10
For Balloon Mania:
Cost = 1.50y + 20
Since the O'Donnells plan to order 30 balloons in total, we know that x + y = 30.
We can now set up the system of equations:
2x + 10 = 1.50y + 20
x + y = 30
To solve this system of equations, we can use substitution or elimination. Let's use substitution in this case.
From the second equation, we have x = 30 - y.
Substitute x = 30 - y into the first equation:
2(30 - y) + 10 = 1.50y + 20
60 - 2y + 10 = 1.50y + 20
70 - 2y = 1.50y + 20
50 = 3.50y
y = 14.29
Since we can't order a fraction of a balloon, we know that the O'Donnells will order 14 balloons from Balloon Mania and 16 balloons from Balloon Express.
Let's calculate the cost for each company:
Balloon Express: 2(16) + 10 = $42
Balloon Mania: 1.50(14) + 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 Express; $5
Balloon Express; $5
Balloon Mania; $5
Balloon Mania; $5
Balloon Express; $25
Balloon Express; $25
Balloon Mania; $25
1 answer