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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?

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SOLUTION

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

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

STEP 2: Equate the two amounts

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

[tex]8x+4=10x+2.50[/tex]

STEP 3: Solve for x

[tex]\begin{gathered} Collecting\text{ like terms:} \\ 8x-10x=2.50-4 \\ -2x=-1.5 \\ Divide\text{ both sides by -2} \\ \frac{-2x}{-2}=\frac{-1.5}{-2} \\ x=0.75 \end{gathered}[/tex]

Hence, each chicken wing costs $0.75

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