The vineyard high School boosters are selling hot dogs and pretzels at the concession stand they have 300 hot dogs and pretzels in stock and one to earn an income $800 they plan to sell hot dogs for $4 each and pretzels for $2 each how many hot dogs and how many pretzels do the boosters need to sell to reach their goal of 800
Let x be the number of hot dogs sold and y be the number of pretzels sold.
The total income generated from selling hot dogs is 4x and from selling pretzels is 2y.
According to the problem, the boosters need to generate $800 in income, so we have the equation:
4x + 2y = 800
Also, they have 300 hot dogs and pretzels in stock, which gives us another equation:
x + y = 300
Now we can solve these two equations simultaneously to find the values of x and y.
From the second equation, we have y = 300 - x.
Substitute this into the first equation:
4x + 2(300 - x) = 800
4x + 600 - 2x = 800
2x = 200
x = 100
Now, substitute this value back into the second equation to find y:
100 + y = 300
y = 200
Therefore, the boosters need to sell 100 hot dogs and 200 pretzels to reach their goal of $800.