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)

Answer 1

Let x be the number of hot dogs and y be the number of pretzels. We have two equations:

x + y = 300 (total items)
4x + 2y = 800 (total income)

We can solve this system of equations using substitution or elimination. Let's use elimination:

We can first rewrite the first equation as:

y = 300 - x

Now we can substitute this expression for y into the second equation:

4x + 2(300 - x) = 800

4x + 600 - 2x = 800

2x = 200

x = 100

Now we can find y:

y = 300 - 100

y = 200

So the boosters need to sell 100 hot dogs and 200 pretzels to reach their goal of $800.