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)

Question

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)

Balloon Express: $25

Balloon Mania: $5

Balloon Express: $5

Balloon Mania; $25

Answer 1

Let x be the number of balloons ordered and y be the delivery fee.

For Balloon Express:
2x + 10y = total cost

For Balloon Mania:
1.50x + 20y = total cost

Given that x = 30, we can substitute this into the equations:

For Balloon Express:
2(30) + 10y = 60 + 10y

For Balloon Mania:
1.50(30) + 20y = 45 + 20y

Since the O'Donnells plan to order 30 balloons, we can calculate the total cost for each company:

Balloon Express: 60 + 10y = 25
Balloon Mania: 45 + 20y = 25

Therefore, the O'Donnells should choose Balloon Express, as they will save $20 by choosing it over Balloon Mania.