Let's assume the boosters sell x hot dogs.
They will earn 4x dollars from selling hot dogs.
They plan to sell 300 hot dogs and pretzels in total, so they will have 300 − x pretzels left to sell.
They will earn 2(300 − x) = 600 − 2x dollars from selling pretzels.
To reach their goal of $800, the total income from selling hot dogs and pretzels must be 800 dollars: 4x + 600 − 2x = 800.
Combining like terms, we get 2x + 600 = 800.
Subtracting 600 from both sides gives 2x = 200.
Dividing both sides by 2 gives x = 100.
Therefore, the boosters need to sell 100 hot dogs and 200 pretzels to reach their goal. Answer: \boxed{100 \text{ hot dogs and } 200 \text{ pretzels}}.
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
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