AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
At a lunch stand, each hamburger has more calories than each order of fries. If hamburgers and orders of fries have a total of calories, how many calories does a hamburger have?
Full solution
Q. At a lunch stand, each hamburger has more calories than each order of fries. If hamburgers and orders of fries have a total of calories, how many calories does a hamburger have?
- Define Variables: Let's denote the number of calories in a hamburger as and the number of calories in an order of fries as . According to the problem, a hamburger has more calories than an order of fries, so we can write this relationship as:
- Total Calories Equation: We also know that hamburgers and orders of fries have a total of calories. We can express this information as an equation:
- Substitute for H: Now we can substitute the expression for H from the first step into the second equation to find the value of F:
- Combine Like Terms: Let's distribute the into the parentheses and combine like terms:
- Isolate F: Now, we will subtract from both sides to isolate the term with :
- Solve for F: Next, we divide both sides by to solve for F:
- Find Calories in H: Now that we have the value for F, we can find the number of calories in a hamburger by going back to the first equation and substituting the value of F:
