Two customers spent the same total amount of money at a restaurant.

The first customer bought 8 hot wings and left a $4 tip.
The second customer bought 10 hot wings and left a $2.80 tip.
Both customers paid the same amount per hot wing.

How much does one hot wing cost at this restaurant in dollars and cents?

Let the cost of one hot wing be denoted as $ x $ (in dollars).

### First Customer:
- The first customer bought 8 hot wings, so the cost of the hot wings is $ 8x $.
- The tip was $4.
- The total amount spent by the first customer is:
\[
8x + 4
\]

### Second Customer:
- The second customer bought 10 hot wings, so the cost of the hot wings is $ 10x $.
- The tip was $2.80.
- The total amount spent by the second customer is:
\[
10x + 2.80
\]

### Since both customers spent the same total amount, we can set their total expenditures equal:
\[
8x + 4 = 10x + 2.80
\]

### Solve for $ x $:

1. Subtract $ 8x $ from both sides:
\[
4 = 2x + 2.80
\]

2. Subtract 2.80 from both sides:
\[
1.20 = 2x
\]

3. Divide both sides by 2:
\[
x = 0.60
\]

Thus, the cost of one hot wing is **$0.60**.

Would you like further details or have any questions?

Here are 5 related questions you might find interesting:
1. What if the second customer left a different tip amount?
2. How would the problem change if both customers bought the same number of hot wings?
3. How can you express the relationship between wings bought and tips using algebra?
4. If another customer bought 12 wings and left no tip, how much would they pay?
5. What if the price per wing increased by 10%?

**Tip:** When solving problems involving equal total amounts, setting up an equation where both sides represent the total is key!

Two customers spent the same total amount of money at a restaurant. The first customer bought 8 hot wings and left a $4 tip. The second customer bought 10 hot wings and left a $2.80 tip. Both customers paid the same amount per hot wing. How much does one hot wing cost at this restaurant in dollars and cents?

This problem walks through finding the cost of one hot wing using algebraic expressions. Given that two customers spent the same amount with different purchases and tips, you’ll learn to set up an equation and solve for the unknown variable. Suitable for Grades 6-8.

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