Isabella went to the salon and was charged $72.60 for a cut and color. She added 20% to the cost as a tip. If there is an 8% sales tax added to the original cost of the service, how much did she pay in total?

The total cost of the service paid by Isabella is given by the equation

A = $ 92.93

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total amount paid by Isabella for the services be A

Now , the equation will be

The cost of the service = $ 72.60

The percentage Isabella added as a tip = 20 %

So , the cost after the tip = 72.60 + ( 20/100 ) x 72.60

On simplifying the equation , we get

The cost after the tip = 72.60 + 14.52

The cost after the tip = $ 87.12

Now , the sales tax percentage = 8 % on the cost of service

Substituting the values in the equation , we get

Sales tax cost of the service = ( 8/100 ) x 72.60

On simplifying the equation , we get

Sales tax cost of the service = $ 5.808

Now ,

The total cost of the service A = cost after the tip + Sales tax cost of the service

The total cost of the service A = 87.12 + 5.808

The total cost of the service A = $ 92.928

The total cost of the service A = $ 92.93

Therefore , the value of A is $ 92.93

Hence , The total cost of the service is $ 92.93

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