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The problem states that a hamburger shop sold a total of 447 hamburgers and cheeseburgers, and that 53 fewer cheeseburgers were sold than hamburgers. We need to find out how many hamburgers were sold.

Let's define:
- \( x \) as the number of hamburgers sold,
- \( x - 53 \) as the number of cheeseburgers sold (since there were 53 fewer cheeseburgers).

The total number of hamburgers and cheeseburgers sold is given as 447, so we can set up the following equation:

\[
x + (x - 53) = 447
\]

Simplifying this equation:

\[
2x - 53 = 447
\]

Add 53 to both sides:

\[
2x = 500
\]

Now divide by 2:

\[
x = 250
\]

So, 250 hamburgers were sold on Thursday.

Would you like further details, or do you have any other questions?

Here are 5 related questions you could explore:
1. How many cheeseburgers were sold on Thursday?
2. If the shop sold 10% more hamburgers the next day, how many would that be?
3. What if the number of cheeseburgers sold was reduced by another 10%—how many would be sold then?
4. What percentage of the total sales were hamburgers?
5. How would the equation change if 100 more hamburgers were sold?

**Tip**: When solving word problems, define variables clearly and write equations step by step to avoid confusion.

A local hamburger shop sold a combined total of 447 hamburgers and cheeseburgers on Thursday. There were 53 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Thursday?

Learn how to solve a word problem involving hamburgers and cheeseburgers sold in a shop. This problem covers key algebraic concepts, including setting up and solving a linear equation. Suitable for students in Grades 6-8.

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