The Baynard High School Boosters are selling hot dogs and pretzels at the concession standThey 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)

Answer 1

Let x be the number of hot dogs sold and y be the number of pretzels sold.

The income from hot dogs is 4x and the income from pretzels is 2y.

The total income is then 4x + 2y.

To reach their goal of $800, we need to solve the following equations:
4x + 2y = 800
x + y = 300

From the second equation, we can solve for x in terms of y:
x = 300 - y

Substitute x = 300 - y into the first equation:
4(300 - y) + 2y = 800
1200 - 4y + 2y = 800
-2y = -400
y = 200

Substitute y = 200 into x = 300 - y:
x = 300 - 200
x = 100

Therefore, the boosters need to sell 100 hot dogs and 200 pretzels to reach their goal of $800.