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?(1 point)
Responses
100 hot dogs and 200 pretzels
100 hot dogs and 200 pretzels
200 hot dogs and 100 pretzels
200 hot dogs and 100 pretzels
50 hot dogs and 250 pretzels
50 hot dogs and 250 pretzels
250 hot dogs and 50 pretzels
To figure out how many hot dogs and pretzels the boosters need to sell to reach their goal of $800, we need to set up an equation.
Let's say they sell x hot dogs and y pretzels.
The income from selling hot dogs is given by 4x, and the income from selling pretzels is 2y.
The total income will be the sum of the income from selling hot dogs and pretzels, which is 4x + 2y.
We want this total income to be equal to $800, so we can set up the equation 4x + 2y = 800.
From the given options, the only one that satisfies this equation is:
200 hot dogs and 100 pretzels.
200 hot dogs will generate an income of 4 * 200 = $<<4*200=800>>800.
100 pretzels will generate an income of 2 * 100 = $<<2*100=200>>200.
So the answer is 200 hot dogs and 100 pretzels.