I have a total of 325 in the coins of denominations 2, 5 and 10. The number of 2 coins is 5 times
the number of 5 coins. The total number of coins is 100. How many coins of each denomination are with
me?
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total money =325 Rs
total number of coins = 100
let the number of 5 Rs coins be X and 2 Rs coins be 5X
so, number of 10 Rs coins be 100-6x
A.T.Q
5(X) + 2 (5X) + 10 ( 100 - 6X ) = 325
5X + 10X + 1000 - 60 X = 325
-45 x = -675
45x = 675
× = 15
so, x = 15
number of 5Rs coins = X = 15
number of 2Rs coins = 5x = 15×5 =75
number of 10 Rs coins = 100 - 6x = 100 - 6×15 = 100 - 90 = 10
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