To solve this problem, we need to create a system of equations. Let's assume that x is the cost per balloon from Balloon Express and y is the cost per balloon from Balloon Mania.
According to the problem:
Balloon Express charges $2 per balloon and $10 for delivery.
So the total cost from Balloon Express is 2x + 10.
Balloon Mania charges $1.50 per balloon and $20 for delivery.
So the total cost from Balloon Mania is 1.5x + 20.
Since they plan to order 30 balloons, we can equate the total cost from both companies:
2x + 10 = 1.5x + 20.
Now, let's solve this equation:
2x - 1.5x = 20 - 10,
0.5x = 10,
x = 10 / 0.5,
x = 20.
Substitute x = 20 into either equation to find the total cost from each company:
Total cost from Balloon Express = 2(20) + 10 = 40 + 10 = 50.
Total cost from Balloon Mania = 1.5(20) + 20 = 30 + 20 = 50.
Since both companies have the same total cost, they should choose either company. Therefore, the correct answer is option C: Balloon Express. However, the problem does not provide information on how much they will save, so it's not possible to determine the amount of savings. Thus, the answer choices provided are not correct.
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?
A. Balloon Express; $5
B. Balloon Mania; $25
C. Balloon Express;
D. $25 Balloon Mania; $5
1 answer