https://file.aiquickdraw.com/mathbot/file/1726072876659gpmdycum.jpg

Let's break down the problem and solve it step-by-step.

### Problem:
- **George** bought 8 wings and gave a tip of 7.22.
- **Mateo** bought 10 wings and gave a tip of 3.74.
  
Both spent the same amount of money.

### Let:
- $ x $ = cost of each wing.

### Setting up the equation:
- The total cost for **George**: $ 8x + 7.22 $
- The total cost for **Mateo**: $ 10x + 3.74 $

Since both spent the same amount, we can set up the following equation:

\[
8x + 7.22 = 10x + 3.74
\]

### Solving for $ x $:

1. Subtract $ 8x $ from both sides:
   \[
   7.22 = 2x + 3.74
   \]

2. Subtract 3.74 from both sides:
   \[
   7.22 - 3.74 = 2x
   \]

3. Simplify:
   \[
   3.48 = 2x
   \]

4. Divide both sides by 2:
   \[
   x = \frac{3.48}{2} = 1.74
   \]

Thus, the cost of each wing is **1.74**.

### Answer:
Each wing costs **$1.74**.

Would you like further details on the steps? Here are 5 additional questions to explore:

1. How can we check if our solution is correct by plugging the values back into the equation?
2. How would the equation change if George bought 12 wings instead?
3. What if there were no tips involved? How would you modify the equation?
4. Can you solve the same problem graphically by plotting the two equations?
5. How can we express the equation if George's tip were represented as a percentage of the total cost?

### Tip:
Always double-check your answer by substituting the value of the variable back into the original equation to ensure correctness.

George and Mateo spent the same amount of money at a restaurant. George bought 8 wings and gave a tip of 7.22. Mateo bought 10 wings and gave a tip of 3.74. What equation represents this situation and how much did each wing cost?

Learn how to solve a linear equation to calculate the cost of each wing, using a real-world problem where George and Mateo spent the same amount at a restaurant. Both bought different quantities of wings and tipped, making this problem perfect for Grades 7-8.

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