Question

Raj had 1 dozen copies, Jyoti had 2 dozen copies, James had `2 1/3` dozen copies and Smriti had `2 2/3` dozen copies. After one month, Raj used up 3 copies, Jyoti used up `1/2` dozen copies James used up 7 copies and Smriti used up `2/3` dozen copies. What fraction did each have after one month? Check, if each has an equal fraction of copies.

Answer 1

Number of copies that Raj have ` = 1` dozen `= 12`
Number of copies used by Raj in one month `=3`
So, remaining copies that Raj have after month ` = 12-3 = 9`
Remaining copies in fraction that Raj have after month ` =9/12 = 3/4`

Number of copies that Jyoti have ` = 2` dozen `= 24`
Number of copies used by Jyoti in one month `=1/2` dozen ` = 1/2**12 = 6`
So, remaining copies that Jyoti have after month ` = 24-6 = 18`
Remaining copies in fraction Jyoti Raj have after month ` =18/24 = 3/4`

Number of copies that James have ` = 2 1/3` dozen `= 7/3**12 = 28`
Number of copies used by James in one month `=7`
So, remaining copies that James have after month ` = 28-7 = 21`
Remaining copies in fraction that James have after month ` =21/28 = 3/4`

Number of copies that Smriti have ` = 2 2/3` dozen `= 8/3**12 = 32`
Number of copies used by Smriti in one month `=2/3**12 = 8`
So, remaining copies that Smriti have after month ` = 32-8= 24`
Remaining copies in fraction that Smriti have after month ` =24/32 = 3/4`

So, all of them have equal fraction of copies that is `3/4`.