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A trip, including hotel and air, is prices at $319.19 after tax. If the tax rate is 12%, calculate the price before tax that will result in this tax-included amount

Respuesta :

Answer: $285

Step-by-step explanation:

Given

A trip costs [tex]\$319.19[/tex] after-tax inclusion

The rate of tax is 12%

Suppose x is the amount of charge before tax inclusion

We can write

[tex]\Rightarrow x+12\%x=319.19\\\Rightarrow x(1+0.12)=319.19\\\\\Rightarrow x=\dfrac{319.19}{1.12}\\\\\Rightarrow x=\$284.99\approx \$285[/tex]

The amount before tax inclusion is $285

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