A shop stores x kg of rice. The first customer buys half this amount plus half a kg of rice. The second customer buys half the remaining amount plus half a kg of rice. Then the third customer also buys half the remaining amount plus half a kg of rice. Thereafter, no rice is left in the shop. Which of the following best describes the value of x?	Choose the correct choice.
A) 2 ≤ x ≤ 6 B) 5 ≤ x ≤ 8 C) 9 ≤ x ≤ 12 D) 11 ≤ x ≤ 14 E) 13 ≤ x ≤ 18
Explanation :   Initial quantity of the rice = x.   The first customer buys half the total rice and another half kg.   Rice purchased by first customer = (x/2) + (1/2)   So, rice left after the first customer =x - (x+1)/2 = (x-1)/2.   Now the second customer buys half the left rice and another half kg.   Rice purchased by second customer = (x-1)/4 + (1/2) = (x+1) / 4.   So, rice left after the second customer = (x-1)/2 - (x+1)/4 = (x-3)/4.   Now the third customer buys half the left rice and another half kg.   Rice purchased by third customer = (x-3)/8 + (1/2) = (x+1)/8.   So, rice left after the second customer= (x-3)/4 -(x+1)/8 = (x-7)/8   Given that (x-7) / 8 = 0 =&gt; x=7.   Answer : 5 ≤ x ≤ 8
<result>B</result>
A shop stores x kg of rice. The first customer buys half this amount plus half a kg of rice. The second customer buys half the remaining amount plus half a kg of rice. Then the third customer also buys half the remaining amount plus half a kg of rice. Thereafter, no rice is left in the shop. Which of the following best describes the value of x?