Free notebooks were distributed equally among children of a class. The number of notebooks each child got was one-eighth of the number of children. Had the number of children been half, each child would have got 16 notebooks. Total how many notebooks were distributed?
Choose the correct choice from the following options.
A) 502
B) 512
C) 523
D) 521
E) 500
Let n be the total number of children.   More children, less notebooks(Indirect proportion)   If the number children = n, number of books each child will get = n/8   If the number children = n/2, number of books each child will get = 16   Hence we can write as   children n:n/2}::16:n/8   ⇒n×n/8=n/2×16   ⇒n8=16/2= 
<gadget id="calculator">16/2</gadget>
<output>8</output>
8   ⇒n=8×8=64   Then, total number of notebooks those were distributed = n×n/8=(64×64)/8=64×8=512   Answer is 512.
<result>B</result>
Free notebooks were distributed equally among children of a class. The number of notebooks each child got was one-eighth of the number of children. Had the number of children been half, each child would have got 16 notebooks. Total how many notebooks were distributed?