Question

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) Responses Balloon Mania; $25 Balloon Mania; $25 Balloon Express; $25 Balloon Express; $25 Balloon Express; $5 Balloon Express; $5 Balloon Mania; $5

Answer 1

Let's set up the equations for the costs of both companies:

1. Balloon Express:

   • Cost per balloon: $2
   • Delivery fee: $10
   • If they order 30 balloons, the total cost is given by: \[ C_E = 2(30) + 10 = 60 + 10 = 70 \] So, the total cost from Balloon Express is $70.

2. Balloon Mania:

   • Cost per balloon: $1.50
   • Delivery fee: $20
   • If they order 30 balloons, the total cost is given by: \[ C_M = 1.50(30) + 20 = 45 + 20 = 65 \] So, the total cost from Balloon Mania is $65.

Now we can compare the costs:

• Cost from Balloon Express = $70
• Cost from Balloon Mania = $65

To find out how much they would save by choosing Balloon Mania over Balloon Express, we can subtract the costs:

\[ \text{Savings} = C_E - C_M = 70 - 65 = 5 \]

Thus, the O'Donnells should choose Balloon Mania, and they will save $5.

So the correct answer is: Balloon Mania; $5.