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Oe paid \$18.60$18.60dollar sign, 18, point, 60 in sales tax and tips for her dinner. The sales tax rate is 11\%11%11, percent, and she tipped 20\%20%20, percent. (The sales tax does not apply to the tip, and the tip is based on the price of the dinner before sales tax.) What was the price of Zoe's dinner, before sales tax and tip?

Respuesta :

Answer: The price of Zoe's dinner before sales tax and tips is $13.96.

Step-by-step explanation:

Since we have given that

Amount Zoe paid after sales tax and tip = $18.60

Let the price before tax be 'x'.

Rate of sales tax = 11%

So, it becomes,

[tex]\frac{11}{100}\times x\\\\=0.11x[/tex]

So, Amount after tax, our equation, becomes,

[tex]x+0.11x=\$18.60\\\\1.11x=\$18.60\\\\x=\frac{18.60}{1.11}\\\\x=\$16.75[/tex]

Now, let the amount before tips be 'y'.

Rate of tips = 20%

So, it becomes,

[tex]\frac{20}{100}\times y\\\\=0.2y[/tex]

So, After tips it becomes,

[tex]y+0.2y=\$16.75\\\\1.2y=\$16.75\\\\y=\frac{16.75}{1.2}\\\\y=\$13.96[/tex]

Hence, The price of Zoe's dinner before sales tax and tips is $13.96.

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