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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. |
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Answer» 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`. |
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