Question

The band boosters collected 2400 from the sale of hamburgers and hot dogs. The amount earned from hamburgers and hot dogs were equal. A hamburger sold for $3 and a hot dog sold for $2. How many of each were sold?

Answer 1

The band boosters sold 400 hamburgers and 600 hot dogs to reach $2400 in sales, with earnings from hamburgers and hot dogs being equal. This was determined by setting up and solving a system of equations.

Step-by-step explanation:

The question involves solving a system of equations to identify how many hamburgers and hot dogs were sold. Given that the total earnings from hamburgers and hot dogs were $2400, and that they both contributed equally to this amount, we can infer that the sale of hamburgers generated $1200, and the sale of hot dogs generated $1200 as well. Setting up the equations, we have:

Let x be the number of hamburgers sold and y be the number of hot dogs sold.

• 3x = 1200
• 2y = 1200

From the first equation, solving for x (the number of hamburgers):

x = 1200 / 3

x = 400

From the second equation, solving for y (the number of hot dogs):

y = 1200 / 2

y = 600

Therefore, 400 hamburgers and 600 hot dogs were sold.