the price of lunch for 15 people was $ 206.00, including a 15 percent gratuity for service. what was the average price per person, excluding the gratuity?  Choose the correct option:
A) $ 11.73	B) $ 12.48	C) $ 13.80	D) $ 14.00	E) $ 15.87
<gadget id="calculator">100 + 15</gadget>
<output>115</output>

<gadget id="calculator">206 / 115</gadget>
<output>206/115 = around 1.791304</output>

<gadget id="calculator">(206/115) * 100</gadget>
<output>4_120/23 = around 179.130435</output>

<gadget id="calculator">1 / 15</gadget>
<output>1/15 = around 0.066667</output>

<gadget id="calculator">(4_120/23) * (1/15)</gadget>
<output>824/69 = around 11.942029</output>

<result>B</result>
the price of lunch for 15 people was $ 206.00, including a 15 percent gratuity for service. what was the average price per person, excluding the gratuity?
multiply(multiply(divide(206, add(const_100, 15)), const_100), divide(const_1, 15))
take the initial price before the gratuity is 100 the gratuity is calculated on the final price , so as we assumed the final bill before adding gratuity is 100 so gratuity is 15 % of 100 is 15 so the total price of meals is 115 so the given amount i . e 206 is for 115 then we have to calculate for 100 for 115 206 for 100 x so by cross multiplication we get 115 x = 100 * 206 = > x = 100 * 206 / 110 by simplifying we get x as 187.27 which is the price of lunch before gratuity so the gratuity is 18.73 so as the question ask the average price person excluding gratuity is 187.27 / 15 = 12.48 so our answer is b )