Let's represent the number of balloons with the variable "b".
According to the problem, Balloon Express charges $2 per balloon and $10 for delivery. Therefore, the cost of ordering balloons from Balloon Express is given by the equation:
Cost of Balloon Express = 2b + 10
Similarly, Balloon Mania charges $1.50 per balloon and $20 for delivery. Therefore, the cost of ordering balloons from Balloon Mania is given by the equation:
Cost of Balloon Mania = 1.50b + 20
We are given that the O'Donnells plan to order 30 balloons. So, we can substitute "30" for "b" in both equations to find their respective costs:
Cost of Balloon Express = 2(30) + 10 = 60 + 10 = 70
Cost of Balloon Mania = 1.50(30) + 20 = 45 + 20 = 65
Comparing the costs, we can see that the O'Donnells should choose Balloon Mania because the cost of ordering balloons from Balloon Mania is lower.
To find the amount the O'Donnells will save, we subtract the cost of ordering from Balloon Mania from the cost of ordering from Balloon Express:
Amount saved = Cost of Balloon Express - Cost of Balloon Mania = 70 - 65 = 5
Therefore, the O'Donnells will save $5 by choosing Balloon Mania.
The answer is D. Balloon Mania; $5.
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. Balloon Mania; $5
1 answer