Solve this real-world problem using a system of equation. The O'Donnells are Having a birthday party for their son, and a plan to have a clown bring balloons to the party. Balloon Express charges $2 per balloon and $10 for delivery. The Balloon Mania charges $1.50 per baloon and $20 for delivery. If the O'Donnells plan to order 30 balloons, which company should they choose, and how much will they save?
A. Balloon Mania; $5
B. Balloon Express; $5
C. Balloon Express; $25
D. Balloon Mania; $25
HELP.
Let's represent the number of balloons the O'Donnells order as "x".
According to the problem, Balloon Express charges $2 per balloon and $10 for delivery. The total cost from Balloon Express would be 2x + 10.
On the other hand, Balloon Mania charges $1.50 per balloon and $20 for delivery. The total cost from Balloon Mania would be 1.50x + 20.
We know that the O'Donnells plan to order 30 balloons, so we can plug in x = 30 into the expressions for both companies:
Balloon Express: 2(30) + 10 = 60 + 10 = $70
Balloon Mania: 1.50(30) + 20 = 45 + 20 = $65
Therefore, the O'Donnells should choose Balloon Mania, and they will save $5 compared to Balloon Express.
The correct answer is A. Balloon Mania; $5.
Let's represent the cost of balloons from Balloon Express as 'BE' and the cost of balloons from Balloon Mania as 'BM'.
From the given information, we can write two equations:
1. BE = 2(ballons) + 10 (delivery cost)
2. BM = 1.5(balloons) + 20 (delivery cost)
We know that the O'Donnells plan to order 30 balloons. We can substitute this value into the equations:
1. BE = 2(30) + 10
2. BM = 1.5(30) + 20
Simplifying these equations, we get:
1. BE = 60 + 10 = 70
2. BM = 45 + 20 = 65
Therefore, the O'Donnells should choose Balloon Mania, and they will save $70 - $65 = $5.
So, the correct answer is: A. Balloon Mania; $5
To solve this real-world problem, you can set up a system of equations. Let's denote the number of balloons ordered as x and the price per balloon from Balloon Express as y.
From the given information, we know that Balloon Express charges $2 per balloon and $10 for delivery. Thus, the total cost at Balloon Express would be given by the equation:
Cost at Balloon Express = (Cost per balloon) * (Number of balloons) + (Delivery fee)
= 2x + 10
Similarly, Balloon Mania charges $1.50 per balloon and $20 for delivery, so the cost at Balloon Mania would be:
Cost at Balloon Mania = (Cost per balloon) * (Number of balloons) + (Delivery fee)
= 1.50x + 20
Since the O'Donnells plan to order 30 balloons, we can substitute x = 30 into both equations:
Cost at Balloon Express = 2 * 30 + 10 = 60 + 10 = 70
Cost at Balloon Mania = 1.50 * 30 + 20 = 45 + 20 = 65
Comparing the costs, we can see that Balloon Mania charges $65 and Balloon Express charges $70. Therefore, the O'Donnells should choose Balloon Mania, and they would save:
Amount saved = Cost at Balloon Express - Cost at Balloon Mania
= 70 - 65
= $5
So the correct answer is A. Balloon Mania; $5.