The system of equations can be set up as follows:
Let x be the number of balloons ordered from Balloon Express and y be the number of balloons ordered from Balloon Mania.
2x + 10 = 1.5y + 20 (total cost equation)
x + y = 30 (total number of balloons)
Solving these equations simultaneously:
2x + 10 = 1.5(30 - x) + 20
2x + 10 = 45 - 1.5x + 20
2x + 10 = -1.5x + 65
3.5x = 55
x = 15
Plugging this back into the total number of balloons equation:
15 + y = 30
y = 15
Therefore, the O'Donnells should order 15 balloons from Balloon Express and 15 balloons from Balloon Mania.
The total cost for Balloon Express = 2(15) + 10 = $40
The total cost for Balloon Mania = 1.5(15) + 20 = $42.50
So, the O'Donnells should choose Balloon Express and they will save $2.50.
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; $25
Balloon Express; $25
Balloon Express; $5
Balloon Express; $5
Balloon Mania; $5
Balloon Mania; $5
Balloon Mania; $25
whats the answer
3 answers
theres no answer thats 2.50
Apologies for the mistake in the calculation. Let's redo the calculation:
Balloon Express:
Cost = 2(30) + 10
Cost = $70
Balloon Mania:
Cost = 1.5(30) + 20
Cost = $65
Therefore, the O'Donnells should choose Balloon Mania and they will save $5.
Balloon Express:
Cost = 2(30) + 10
Cost = $70
Balloon Mania:
Cost = 1.5(30) + 20
Cost = $65
Therefore, the O'Donnells should choose Balloon Mania and they will save $5.