Let's define our variables:
Let x be the number of balloons from Balloon Express.
Let y be the number of balloons from Balloon Mania.
From the problem statement:
x + y = 30 (equation 1)
The cost from Balloon Express can be represented as:
2x + 10 (equation 2)
The cost from Balloon Mania can be represented as:
1.50y + 20 (equation 3)
To find out which company the O'Donnells should choose, we need to compare the costs for both companies.
Substituting equation 1 into equation 2:
2(30-y) + 10
= 60 - 2y + 10
= 70 - 2y
Substituting equation 1 into equation 3:
1.50(30-x) + 20
= 45 - 1.50x + 20
= 65 - 1.50x
So, the O'Donnells should choose the company with the least cost, which is Balloon Mania.
To calculate the amount saved, we subtract the cost from Balloon Mania from the cost from Balloon Express:
(70 - 2y) - (65 - 1.50x)
= 5 - 2y + 1.50x
Since we don't have specific values for x and y, we can't determine the exact amount saved. Therefore, the correct response should be:
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?(1 point) Responses Balloon Express; $5 Balloon Express; $5 Balloon Mania; $5 Balloon Mania; $5 Balloon Express; $25 Balloon Express; $25 Balloon Mania; $25
1 answer