Question

Question The Jackson Jammers are giving away bags and caps at their next game. The bags, b , cost them $10 each, and the caps, c , cost them $5 each. They plan to give away 2,000 total items and have a budget of $12,500. Write the pair of linear equations that model this situation.(1 point) Responses b+c=12,500; 5b+10c=2,000 b plus c equals 12,500 ; 5 b plus 10 c equals 2,000 b+c=12,500; 10b+5c=2,000 b plus c equals 12,500 ; 10 b plus 5 c equals 2,000 b+c=2,000; 5b+10c=12,500 b plus c equals 2,000 ; 10 b plus 10 c equals 12,500 b+c=2,000; 10b+5c=12,500

Answer 1

b+c=2,000; 5b+10c=12,500

Answer 2

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; $25 Balloon Express; $25 Balloon Express; $5 Balloon Express; $5 Balloon Mania; $5 Balloon Mania; $5 Balloon Mania; $25

Answer 3

Let's denote the number of balloons as "b" and the delivery fee as "d".

For Balloon Express, the cost is $2b + $10d
For Balloon Mania, the cost is $1.50b + $20d

Given that the O’Donnells plan to order 30 balloons:

We can set up the following system of equations:

2b + 10d = cost of Balloon Express
1.50b + 20d = cost of Balloon Mania

Plugging in the known values:

2(30) + 10d = 60 + 10d
1.50(30) + 20d = 45 + 20d

60 + 10d = 45 + 20d
Subtract 10d from both sides:
60 = 45 + 10d
Subtract 45 from both sides:
15 = 10d
Divide by 10:
d = 1.5

Now, we can calculate the total cost for each company with 30 balloons:

for Balloon Express: $2(30) + $10(1.5) = $60 + $15 = $75
for Balloon Mania: $1.50(30) + $20(1.5) = $45 + $30 = $75

Since both companies would charge a total of $75 for the balloons, the cost is the same. The O'Donnells can choose either company. They would not save any money by choosing one over the other regarding the total cost of the balloons and delivery.

Answer 4

the answer is balloon mania

Answer 5

Apologies for the oversight. Let's recalculated to verify:

For Balloon Express:
Cost = $2(30) + $10 = $60 + $10 = $70

For Balloon Mania:
Cost = $1.50(30) + $20 = $45 + $20 = $65

Therefore, the O'Donnells should choose Balloon Mania as it will cost them $65, and they would save $5 compared to Balloon Express. Thank you for pointing that out.

Answer 6

The Spanish Club at Santa Fe Middle School wants to sell mini quiches to raise money for a field trip. The culinary department at their school will make the quiches for $30 plus $0.50 per quiche for the ingredients. The Spanish Club wants to sell each quiche for $2. How many quiches will they need to sell in order to break even?(1 point) Responses 20 quiches 20 quiches 12 quiches 12 quiches 75 quiches 75 quiches 45 quiches

Answer 7

Let "q" represent the number of quiches the Spanish Club will sell.

The cost to make the quiches is $30 + $0.50q, and the revenue generated from selling the quiches is $2q.

For break-even, the cost = revenue.

So, $30 + $0.50q = $2q

Subtracting $0.50q from both sides:
$30 = $1.50q

Now, divide by $1.50 on both sides:
q = 30 / 1.50
q = 20

Therefore, the Spanish Club will need to sell 20 quiches to break even.

Therefore, the correct response is "20 quiches".