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

7 answers

To break even, the Spanish Club needs to cover the cost of making the quiches, which is $30 + $0.50 per quiche. Let's call the number of quiches they need to sell x.

The total cost of making the quiches is $30 + ($0.50 * x).

The Spanish Club wants to sell each quiche for $2, so the total revenue from selling x quiches is $2 * x.

To break even, the revenue from selling the quiches should equal the cost of making them:

$2 * x = $30 + ($0.50 * x)

Now we can solve for x:

$2 * x - $0.50 * x = $30

1.5 * x = $30

x = $30 / 1.5

x = 20

Therefore, the Spanish Club will need to sell 20 quiches in order to break even.
The Baynard High School Boosters are selling hot dogs and pretzels at the concession stand. They have 300 hot dogs and pretzels in stock and want to earn an income of $800. They plan to sell the hot dogs for $4 each and the pretzels for $2 each. How many hot dogs and how many pretzels do the boosters need to sell to reach their goal of $800?(1 point) Responses 100 hot dogs and 200 pretzels 100 hot dogs and 200 pretzels 250 hot dogs and 50 pretzels 250 hot dogs and 50 pretzels 50 hot dogs and 250 pretzels 50 hot dogs and 250 pretzels 200 hot dogs and 100 pretzels 200 hot dogs and 100 pretzels
Let's say the number of hot dogs the Boosters need to sell is x, and the number of pretzels they need to sell is y.

The selling price for each hot dog is $4, so the revenue from selling hot dogs is 4x.
Similarly, the selling price for each pretzel is $2, so the revenue from selling pretzels is 2y.

To reach their goal of $800, the total revenue from hot dogs and pretzels should equal $800:
4x + 2y = 800

We also know that the total number of hot dogs and pretzels they have in stock is 300:
x + y = 300

Now we have a system of equations. We can solve it to find the values of x and y.

From the second equation, we can express x in terms of y as: x = 300 - y.

Substituting this value of x into the first equation, we get:
4(300 - y) + 2y = 800
1200 - 4y + 2y = 800
-2y = -400
y = 200

Substituting this value of y back into x = 300 - y, we get:
x = 300 - 200
x = 100

Therefore, the Boosters need to sell 100 hot dogs and 200 pretzels to reach their goal of $800.
The Baynard High School Boosters are selling hot dogs and pretzels at the concession stand. They have 300 hot dogs and pretzels in stock and want to earn an income of $800. They plan to sell the hot dogs for $4 each and the pretzels for $2 each. How many hot dogs and how many pretzels do the boosters need to sell to reach their goal of $800?(1 point) Responses 100 hot dogs and 200 pretzels 100 hot dogs and 200 pretzels 250 hot dogs and 50 pretzels 250 hot dogs and 50 pretzels 50 hot dogs and 250 pretzels 50 hot dogs and 250 pretzels 200 hot dogs and 100 pretzels 200 hot dogs and 100 pretzels
To calculate the number of hot dogs and pretzels the Boosters need to sell to reach their goal of $800, we can set up a system of equations and solve it.

Let's say the number of hot dogs they need to sell is H, and the number of pretzels they need to sell is P.

The selling price for each hot dog is $4, so the revenue from selling hot dogs is 4H.
Similarly, the selling price for each pretzel is $2, so the revenue from selling pretzels is 2P.

We know that the total number of hot dogs and pretzels they have in stock is 300:
H + P = 300

We also know that the total revenue they want to earn is $800:
4H + 2P = 800

Now we can solve this system of equations to find the values of H and P.

Multiplying the first equation by 2, we get:
2H + 2P = 600

Subtracting this equation from the second equation, we get:
4H + 2P - (2H + 2P) = 800 - 600
2H = 200
H = 100

Substituting this value of H back into the first equation, we get:
100 + P = 300
P = 200

Therefore, the Boosters need to sell 100 hot dogs and 200 pretzels to reach their goal of $800.
Julie is asked to solve the system below by elimination. Which of the following steps would be the best way to begin? i. 2x+y=−3 ii. 3x−2y=2 (1 point) Responses Multiply equation i by 2 and multiply equation ii by 3 Multiply equation i by 2 and multiply equation ii by 3 Multiply equation ii by 2 Multiply equation ii by 2 Multiply equation i by 2 Multiply equation i by 2 Multiply equation ii by 2 and multiply equation i by -2 Multiply equation ii by 2 and multiply equation i by -2
To begin solving the system by elimination, the best way would be to multiply equation i by 2 and multiply equation ii by 3.

This will allow us to create opposite coefficients for the y term in both equations, so that when we add the two equations together, the y terms will cancel out. This is a common technique in the elimination method.