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? point)

1 answer

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

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

From the given information, we can set up the following system of equations:
4x + 2y = 800
x + y = 300

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

Substituting y = 200 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.