a 100 - litre mixture of milk and water contains 30.25 litres of milk. ' x ' litres of this mixture is removed and replaced with an equal quantum of water. if the process is repeated once, then the concentration of the milk stands reduced at 25 %. what is the value of x?
Pick one: A) 9.1 litres B) 10 litres C) 8 litres D) 12 litres E) 6 litres
<gadget id="calculator">25 / 30.25</gadget>
<output>0.826446</output>

<gadget id="calculator">0.826446 ** (1/2)</gadget>
<output>0.909091</output>

<gadget id="calculator">1 - 0.909091</gadget>
<output>0.090909</output>

<gadget id="calculator">100 * 0.090909</gadget>
<output>9.0909</output>

<result>A</result>
a 100 - litre mixture of milk and water contains 30.25 litres of milk. ' x ' litres of this mixture is removed and replaced with an equal quantum of water. if the process is repeated once, then the concentration of the milk stands reduced at 25 %. what is the value of x?
multiply(100, subtract(const_1, sqrt(divide(25, 30.25))))
working formula . . . initial concentration * initial volume = final concentration * final volume . let x is the part removed from 100 lts . 30.25 % ( 1 - x / 100 ) ^ 2 = 25 % * 100 % ( 1 - x / 100 ) ^ 2 = 25 / 30.25 - - - - - - > ( 1 - x / 100 ) ^ 2 = ( 5 / 5.5 ) ^ 2 100 - x = 500 / 5.5 x = 9.1 . . . ans a