Question

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?

Answer 1

Let h = number of hot dogs and p = number of pretzels.

Equations:
h + p = 300
4h + 2p = 800

From the first, p = 300 − h. Substitute:
4h + 2(300 − h) = 800
4h + 600 − 2h = 800
2h = 200 → h = 100

Then p = 300 − 100 = 200.

So they should sell 100 hot dogs and 200 pretzels (100·$4 + 200·$2 = $800).