For a large group of students, the Boston Ballet charges a flat rate of $50.00, plus $15.00 per ticket. How much would a school need to take a class of 25 students to see The Nutcracker? Use an equation with two variables to solve this problem.(1 point)

Question

Responses

$50.00
$50.00

$425.00
$425.00

$1,265.00
$1,265.00

$375.00

Answer 1

To solve the problem, we can start by setting up the equation based on the given information.

Let:

• \( F \) represent the flat fee (which is $50.00).
• \( p \) represent the price per ticket (which is $15.00).
• \( n \) represent the number of students (which is 25).

The total cost \( C \) can be expressed as:

\[ C = F + (p \times n) \]

Substituting the values we have:

\[ C = 50 + (15 \times 25) \]

Calculating the number of tickets cost:

\[ 15 \times 25 = 375 \]

Now, substituting this back into the equation:

\[ C = 50 + 375 = 425 \]

Therefore, the total cost for the school to take a class of 25 students to see The Nutcracker is $425.00.

Final Answer: $425.00

Answer 2

Question
The school soccer team is selling chips to fundraise for new jerseys. If they charge $2.50 per bag of chips, how many bags would they need to sell in order to raise $1,000.00?(1 point)
Responses

40 bags
40 bags

$400.00
$400.00

400 bags
400 bags

500 bags

Answer 3

To determine how many bags of chips the soccer team needs to sell to raise $1,000.00, we can use the equation:

\[ \text{Total Revenue} = \text{Price per Bag} \times \text{Number of Bags} \]

Let:

• \( P \) = Price per bag = $2.50
• \( R \) = Total revenue needed = $1,000.00
• \( n \) = Number of bags to sell

We can set up the equation:

\[ 1,000 = 2.50 \times n \]

To find \( n \), we can solve for \( n \):

\[ n = \frac{1,000}{2.50} \]

Calculating this:

\[ n = \frac{1,000}{2.50} = 400 \]

Thus, the soccer team needs to sell 400 bags of chips to raise $1,000.00.

Final Answer: 400 bags