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)
100 hot dogs and 200 pretzels
200 hot dogs and 100 pretzels
250 hot dogs and 50 pretzels
50 hot dogs and 250 pretzels
To reach the goal of $800, the boosters need to sell a combination of hot dogs and pretzels. Let x represent the number of hot dogs sold and y represent the number of pretzels sold.
The total income from selling hot dogs is 4x.
The total income from selling pretzels is 2y.
We can set up the following system of equations:
4x + 2y = 800
x + y = 300
Solving this system of equations, we find that x = 200 and y = 100.
Therefore, the boosters need to sell 200 hot dogs and 100 pretzels to reach their goal of $800.
So, the answer is 200 hot dogs and 100 pretzels.