The Baynard high school boosters are selling hotdogs and pretzels at the concession stand 300 hotdogs and pretzels in stock and want to earn an income of $800. They plan to sell the hotdogs for four dollars each and the pretzels for two dollars each how many hotdogs and how many pretzels do the boosters need to sell to reach their goal of $800

Question

The Baynard high school boosters are selling hotdogs and pretzels at the concession stand 300 hotdogs and pretzels in stock and want to earn an income of $800. They plan to sell the hotdogs for four dollars each and the pretzels for two dollars each how many hotdogs and how many pretzels do the boosters need to sell to reach their goal of $800

Answer 1

Let x be the number of hotdogs sold and y be the number of pretzels sold.

Since each hotdog is sold for $4 and each pretzel is sold for $2, we can set up the following system of equations:

4x + 2y = 800
x + y = 300

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

x = 300 - y

Substitute this into the first equation:

4(300 - y) + 2y = 800
1200 - 4y + 2y = 800
-2y = -400
y = 200

Now substitute y = 200 back into x = 300 - y:

x = 300 - 200
x = 100

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