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A man realizes he lost the detailed receipt from the store and only has the credit card receipt with the after-tax total. If the after-tax total was $435.42, and the tax rate in the area is 6.2%, what was the pre-tax subtotal?

Respuesta :

ANSWER:

$410

STEP-BY-STEP EXPLANATION:

We can calculate the subtotal pre-tax value using the following equation based on the data in the statement:

[tex]x+\frac{6.2}{100}x=435.42[/tex]

We solve for x:

[tex]\begin{gathered} x+0.062x=435.42 \\ x(1+0.062)=435.42 \\ x=\frac{435.42}{1.062} \\ x=410 \end{gathered}[/tex]

Which means that the pre-tax subtotal was $410

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