Question

Define the variables, write a system of equations, identify the answers, and label your answer.

Two burgers and one hotdog cost $4.82. At the same price, one burger and two hotdogs cost $3.70. How much does a hotdog cost?

Answer 1

Hope this helps ^^

Explanation:

Let's define the variables:

Let's call the cost of a burger "B" (in dollars).

Let's call the cost of a hotdog "H" (in dollars).

Now, we can set up a system of equations based on the given information:

Equation 1: 2B + H = 4.82 (Two burgers and one hotdog cost $4.82)

Equation 2: B + 2H = 3.70 (One burger and two hotdogs cost $3.70)

To solve this system of equations, we can use the method of substitution or elimination.

Using the method of elimination, we can multiply Equation 2 by 2 to eliminate the "B" term:

2(B + 2H) = 2(3.70)

2B + 4H = 7.40

Now, we can subtract Equation 1 from this new equation to eliminate the "2B" term:

(2B + 4H) - (2B + H) = 7.40 - 4.82

2H - H = 2.58

H = 2.58

Therefore, the cost of a hotdog is $2.58.

Labeling the answer: The cost of a hotdog is $2.58.