Question

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!!

Answer 1

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:

$Price = x \times (1 + 20\%)$

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

$Price = x \times (1 + 20\%) \times (1 + 6\%)$

So, we have:

$Price = x \times (1 + 0.20) \times (1 + 0.06)$

$Price = x \times (1.20) \times (1.06)$

$Price = x \times 1.272$

The amount paid is $27.72

So, the equation becomes

$27.72= x \times 1.272$

Make x the subject

$x = \frac{27.72}{1.272}$

$x = 21.78$

So, the cost of each meal is:

$Each= \frac{21.78}{2}$

$Each= 10.89$

Hence, the cost of each meal is: $10.89

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