the Bernard 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 recycle of 800
Let x be the number of hot dogs sold and y be the number of pretzels sold.
The income earned can be represented by the equation:
4x + 2y = 800
Also, the total number of items sold should be equal to the total in stock:
x + y = 300
Now, we can solve this system of equations:
4x + 2y = 800
x + y = 300
First, we can solve for x in terms of y from the second equation:
x = 300 - y
Substitute x in the first equation:
4(300 - y) + 2y = 800
1200 - 4y + 2y = 800
-2y = -400
y = 200
Now, we can find x using the second equation:
x + 200 = 300
x = 100
Therefore, the boosters need to sell 100 hot dogs and 200 pretzels to earn an income of $800.