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? Type your answer below in terms of

1 answer

Let $ x $ be the cost of one hot wing.

For the first customer:

Cost of 8 hot wings: $ 8x $
Tip: $ 4 $
Total amount spent: $ 8x + 4 $

For the second customer:

Cost of 10 hot wings: $ 10x $
Tip: $ 2.80 $
Total amount spent: $ 10x + 2.80 $

Since the total amounts spent by both customers are equal, we can set up the equation:

\[ 8x + 4 = 10x + 2.80 \]

Now, we can solve for $ x $:

Subtract $ 8x $ from both sides:

\[ 4 = 2x + 2.80 \]

Subtract $ 2.80 $ from both sides:

\[ 4 - 2.80 = 2x \] \[ 1.20 = 2x \]

Divide both sides by 2:

\[ x = \frac{1.20}{2} = 0.60 \]

Thus, the cost of one hot wing is $ \boxed{0.60} $.