after 10 % of the inhabitants of a village disappeared, a panic set in during which 25 % of the remaining inhabitants left the village. at that time, the population was reduced to 5535. what was the number of original inhabitants?  Choose the correct choice from the following choices:  A) 7900  B) 8200  C) 8500  D) 8800  E) 9100
<gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>

<gadget id="calculator">1 - (1/10)</gadget>
<output>9/10 = around 0.9</output>

<gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>

<gadget id="calculator">(9/10) * (1/4)</gadget>
<output>9/40 = around 0.225</output>

<gadget id="calculator">(9/10) - (9/40)</gadget>
<output>27/40 = around 0.675</output>

<gadget id="calculator">5_535 / (27/40)</gadget>
<output>8_200</output>

<result>B</result>
after 10 % of the inhabitants of a village disappeared, a panic set in during which 25 % of the remaining inhabitants left the village. at that time, the population was reduced to 5535. what was the number of original inhabitants?
divide(5535, subtract(subtract(const_1, divide(10, const_100)), multiply(subtract(const_1, divide(10, const_100)), divide(25, const_100))))
"let the total number of original inhabitants be x . ( 75 / 100 ) * ( 90 / 100 ) * x = 5535 ( 27 / 40 ) * x = 5535 x = 5535 * 40 / 27 = 8200 the answer is b ."