Final answer:
Daniel buys one hotdog for $2.50 and three hamburgers, spending a total of $13. We find the cost of each hamburger by the equation $2.50 + 3H = $13, solve for H, and determine that each hamburger costs $3.50.
Step-by-step explanation:
The problem involves finding the cost of each hamburger that Daniel buys, given that he purchases one hotdog for $2.50 and three hamburgers for a total of $13. To solve this equation, we let H represent the amount each hamburger costs. The total cost of the hotdog and hamburgers together is $13. Therefore, the equation we can write is 1 hotdog + 3 hamburgers = total cost, or $2.50 + 3H = $13. To find H, we subtract the cost of the hotdog from the total cost, which gives us 3H = $13 - $2.50, resulting in 3H = $10.50. Finally, we divide both sides by 3 to find the cost of one hamburger: H = $10.50 / 3, which is H = $3.50. Therefore, each hamburger costs $3.50.