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 dollars an

1 answer

Let $ p $ be the price per hot wing.

The total amount spent by the first customer can be represented as: \[ 8p + 4 \] The total amount spent by the second customer is: \[ 10p + 2.80 \]

Since both customers spent the same amount, we can set up the equation: \[ 8p + 4 = 10p + 2.80 \]

Now, we can solve for $ p $:

Subtract $ 8p $ from both sides: \[ 4 = 2p + 2.80 \]
Subtract $ 2.80 $ from both sides: \[ 4 - 2.80 = 2p \] \[ 1.20 = 2p \]
Divide both sides by 2: \[ p = \frac{1.20}{2} = 0.60 \]

Thus, the price per hot wing is: \[ \boxed{0.60} \] (dollars).