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Question

A money box contains one rupee and two rupee coins in the ratio 5:6. If the total value of coins in the money box is ₹85, find the number two rupee coins.. 


Solution

Given 1 and 2 rupees in the ratio of 5:6.
lets assume that 5x be the number of 1 rupee coin and 6y the number of 2 rupee coins.
so,
5x+6y=85
Since the value of 2 is 2 times 1 we get y=2x
5x +6(2x)=85
5x+ 12x =85
17x=85
x=5.
So total value  of 2 rupee coins is 12×5= 60
So number of 2 rupee coin is 60/2=30. And that of one rupee is 25

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