Let x be the number of balloons ordered from Balloon Express and y be the number of balloons ordered from Balloon Mania.
The total cost for Balloon Express is $2x + 10, and the total cost for Balloon Mania is $1.50y + 20.
We know that the total number of balloons ordered is 30, so x + y = 30. This gives us our first equation.
We also know that the O'Donnells plan to order 30 balloons, so x + y = 30. This gives us our first equation.
The cost of the balloons from Balloon Express is $2x, and the cost of the balloons from Balloon Mania is $1.50y. We can set up another equation based on this information:
2x = 1.50y
Now we can solve the system of equations:
x + y = 30
2x = 1.50y
Solving the second equation for x gives us x = 0.75y. Substituting this into the first equation gives us:
0.75y + y = 30
1.75y = 30
y = 17.14
Now we can find x:
x = 30 - y
x = 30 - 17.14
x = 12.86
Now we can compare the total cost for both options:
Balloon Express: $2(12.86) + 10 = $35.72
Balloon Mania: $1.50(17.14) + 20 = $46.71
Therefore, the O'Donnells should choose Balloon Express and they would save $10.99. So, the correct 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 Mania; $25 b. Balloon Express; $5 c. Balloon Express; $25 d. Balloon Mania; $5
1 answer
1 answer