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Shipra had 3b coins in her piggy bank. It contained some ? 1 coins, some ? 2 coins, and Soeoins. The total amount was R 88. How many of each coins did she have? |
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Answer» Shipra has 3 rupees which means 300 paise(1 rupee=100 paise)She has some 25 paise, some 10 paise and some 5 paise.i.e 25a+10b+5c=300----------(1)All together she has 36 coins in total.i.e a+b+c=36-----------(2)'a' denotes the number of 25 paise coins'b' denotes the number of 10 paise coins'c' denotes the number of 5 paise coinsSolving equations (1) and (2) we get4a+b=24 (if we cancel 'c')4a+b=24---------(3)b=24-4a----------(4)Now substitute values of 'a'If a=1 then b=20 and c=15If a=2 then b=16 and c=18If a=3 then b=12 and c=21If a=4 then b=8 and c=24If a=5 then b=4 and c=27Solution 1There will be one 25 paise coin, twenty 25 paise coins and fifteen 5 paise coins in her piggy bank.Solution 2There will be two 25 paise coins, sixteen 10 paise coins and eighteen 5 paise coins in her piggy bank.Solution 3There will be three 25 paise coins, twelve 10 paise coins and twenty one 5 paise coins in her piggy bank.Solution 4There will be four 25 paise coins, eight 10 paise coins and twenty four 5 paise coins in her piggy bank.Solution 5There will be five 25 paise coins, four 10 paise coins and twenty seven 5 paise coins in her piggy bank. hit like if you find it useful |
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