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 Mania; $25
Balloon Mania; $25
Balloon Express; $5
Balloon Express; $5
Balloon Mania; $5
Let x be the number of balloons ordered from Balloon Express and y be the number of balloons ordered from Balloon Mania.
From the problem, we can create the following system of equations:
2x + 10 = 30
1.5y + 20 = 30
Solving the first equation, we get:
2x = 20
x = 10 balloons
Plugging x back into the first equation, we find:
2*10 + 10 = 30
Therefore, the O'Donnells should order 10 balloons from Balloon Express.
Solving the second equation with y:
1.5y = 10
y = 10/1.5
y = 6.67 balloons
But since we can't order 6.67 balloons, we have to round down to 6. This means the O'Donnells should order 6 balloons from Balloon Mania.
Comparing the total cost for both companies:
Balloon Express: 2*10 + 10 = $30
Balloon Mania: 1.5*6 + 20 = $29
Therefore, the O'Donnells should choose Balloon Mania to save $1.