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Example 8: Bansi has 3 times as many two-rupcehe has in all a sum of 77. how many coins of eacnt has 3 times as many two-rupee coins as he has five-rupee coins. Ifmote 77. how many coins of each denomination does he have?

Answer»

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solution=Number of 2 rupees coins = 21 and number of 5 rupees coins = 7

Solution:

Let us take number of 5 rupees coins as X and number of 2 rupees coins as Y

Amount of 5 rupees coin will make = 5X

Amount of 2 rupees coin will make = 3Y

Number of 2 rupees coin =

Number of 2 rupees coins are equal to 3X and number of 5 rupees is X

Total amount = 2( 3X ) + 5X = 11X

Now we can equate the amount which 11X = 77

X = 7

Now as we know the number of 2 rupees coin is 3X and number of 5 rupees coin is X, that means

Number of 2 rupees coins = 21 and number of 5 rupees coins = 7

Let the no. of five-rupee coins be xLet the no. of two-rupee coins be 3x

x + 3x = 774x = 77x = 77/4x = 19.25

He has 19.25 five-rupee coins.He has 3×19.25 = 57.75 two-rupee coins



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