Free notebooks were distributed equally among children of a class.
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. How many notebooks were distributed in all?
Answer/Solution
512
Steps/Work
In case I: Let the no. of children = x.
Hence, total no. of notebooks distributed
1⁄8x.x or x2⁄8.......(i)
In case II: no.of children = x⁄2
Now, the total no. of notebooks
= 16 × x⁄2 .......(ii)
Comparing (i) & (ii), we get
x2⁄8 = 8x
or, x = 64
Hence, total no. of notebooks
= 64×64/8=512
Answer D
Hence, total no. of notebooks distributed
1⁄8x.x or x2⁄8.......(i)
In case II: no.of children = x⁄2
Now, the total no. of notebooks
= 16 × x⁄2 .......(ii)
Comparing (i) & (ii), we get
x2⁄8 = 8x
or, x = 64
Hence, total no. of notebooks
= 64×64/8=512
Answer D