A snack stand sells hot dogs for $2 and hamburgers for $3. If you want to spend exactly $14, write an equation to model this situation. If you purchase one hot dog , how many hamburgers will you purchase?

2 + 3h = 14

Thanks

You're welcome.

To solve this problem, we can create an equation to represent the situation. Let's use the variable "x" to represent the number of hot dogs and "y" to represent the number of hamburgers.

First, let's consider the cost of the items. Each hot dog costs $2, so the total cost of hot dogs will be 2x. Similarly, each hamburger costs $3, so the total cost of hamburgers will be 3y.

From the problem, we know that we want to spend exactly $14. Therefore, the equation that models this situation is:

2x + 3y = 14

Now, if you purchase one hot dog, we can substitute x = 1 into the equation to determine the number of hamburgers you will purchase. The equation becomes:

2(1) + 3y = 14

2 + 3y = 14

Next, we can solve the equation for y.

Subtract 2 from both sides:

3y = 14 - 2

3y = 12

Divide both sides by 3:

y = 12/3

y = 4

Therefore, if you purchase one hot dog, you will purchase 4 hamburgers.