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?

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?
Transcript text: 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?
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Solution

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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.

Step 1: Define the Variables and Equation

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

Step 2: Solve for \( Q \) in Terms of \( W \)

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

Final Answer

The number of calories in a Quarter Pounder with cheese in terms of the calories in a Whopper is: \[ \boxed{Q = 1515 - \frac{3W}{2}} \]

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