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)

Question

Responses

200 hot dogs and 100 pretzels
200 hot dogs and 100 pretzels

50 hot dogs and 250 pretzels
50 hot dogs and 250 pretzels

100 hot dogs and 200 pretzels
100 hot dogs and 200 pretzels

250 hot dogs and 50 pretzels

Answer 1

To reach their goal of $800, let's set up a system of equations:
Let H = number of hot dogs sold
Let P = number of pretzels sold

4H + 2P = 800 (total income)
H + P = 300 (total number of items)

Now we can solve this system of equations. Multiplying the second equation by 2, we get:

2H + 2P = 600

Subtracting this equation from the first equation allows us to solve for H:

4H + 2P - 2H - 2P = 800 - 600
2H = 200
H = 100

Thus, the Baynard High School Boosters need to sell 100 hot dogs and 200 pretzels to reach their goal of $800.

The correct answer is: 100 hot dogs and 200 pretzels