Question

Both customers spent same amount of money. customer one bought 8 chicken wings and left a tip of four dollars. second customer bought 10 chicken wings and left a tip of $2.50. how much is each chicken wing?

Answer 1

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the representation of the chicken wings

Let the chicken wing be represented by x

`\begin{gathered} For\text{ Customer 1, he spent;} \\ 8x+4 \\ From\text{ second customer, he spent} \\ 10x+2.50 \end{gathered}`

STEP 2: Equate the two amounts

Since they both spent same amount of money, this means that;

`8x+4=10x+2.50`

STEP 3: Solve for x

`\begin{gathered} Collecting\text{ like terms:} \\ 8x-10x=2.50-4 \\ -2x=-1.5 \\ Divide\text{ both sides by -2} \\ (-2x)/(-2)=(-1.5)/(-2) \\ x=0.75 \end{gathered}`

Hence, each chicken wing costs $0.75