Questions: The Quarter Pounder had calories. The Whopper had calories. In this video, an example problem was about two Quarter Pounders with cheese and three Whoppers that combined for a total of 3030 calories. How many calories were in each type of sandwich?

Solution Steps

To solve this problem, we need to set up a system of linear equations based on the given information. Let \( Q \) represent the calories in a Quarter Pounder with cheese and \( W \) represent the calories in a Whopper. We are given that two Quarter Pounders with cheese and three Whoppers combined have a total of 3030 calories. This can be represented by the equation:

\[ 2Q + 3W = 3030 \]

Since we have only one equation and two unknowns, we need additional information to solve for \( Q \) and \( W \). However, based on the problem statement, it seems we are only given this single equation. Therefore, we can only express one variable in terms of the other.

Let \( Q \) represent the calories in a Quarter Pounder with cheese and \( W \) represent the calories in a Whopper. We are given the equation: \[ 2Q + 3W = 3030 \]

Rearrange the equation to solve for \( Q \): \[ 2Q = 3030 - 3W \] \[ Q = \frac{3030 - 3W}{2} \] \[ Q = 1515 - \frac{3W}{2} \]

Final Answer