mathgenius08
Answered

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Two friends go out to eat and order the same meal. They pay a 6% sales tax and a 20% tip on their meals. The total bill, including tax and tip, is $27.72. How much did each meal cost before tax and tip? (Assume that the friends pay a tip on the cost of the meals only.) IF CORRECT I WILL GIVE BRAINLIEST!!

Sagot :

MrRoyal

Sales tax and tip will increase the price of an item.

The cost of each meal is: $10.89

Let the cost of both meals be x.

A 20% tip means that, the current price is:

[tex]Price = x \times (1 + 20\%)[/tex]

A 6% sales tax on the meal means that, the current price is:

[tex]Price = x \times (1 + 20\%) \times (1 + 6\%)[/tex]

So, we have:

[tex]Price = x \times (1 + 0.20) \times (1 + 0.06)[/tex]

[tex]Price = x \times (1.20) \times (1.06)[/tex]

[tex]Price = x \times 1.272[/tex]

The amount paid is $27.72

So, the equation becomes

[tex]27.72= x \times 1.272[/tex]

Make x the subject

[tex]x = \frac{27.72}{1.272}[/tex]

[tex]x = 21.78[/tex]

So, the cost of each meal is:

[tex]Each= \frac{21.78}{2}[/tex]

[tex]Each= 10.89[/tex]

Hence, the cost of each meal is: $10.89

Read more about sales tax at:

https://brainly.com/question/19715580

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