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I have a total of 300 …

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I have a total of 300 Rs in coins of denominations 1Rs 2 Rs and 5 Rs. The number of 2 coins is 3 Times the number of $5 coins. The total number of coins is 160 . How many Coins of each denomination are with me?

 

  • 1 answers

Yashvi Mehta 6 years, 9 months ago

Given 

Total no. of coins =160

Let the no of 5₹ coins be x

Therefore no of ₹2 coins = 3x

Now let no of ₹1 coins be y.

So,

3x + x + y = 160

So 4x +y = 160 ....(1)

Since total money in ₹5 coins = 5 × x = 5x

Similarly total money in ₹2 coins = 2 × 3x = 6x

And total money in ₹1 coins = 1×y = y

So we get 

5x + 6x + y = 300

11x + y = 300 

or, y = 300 - 11x ....(2)

Putting  value of y in ....(1)

4x + 300 - 11x = 160

-7x = -140

x = 20

Now you can find the no of ₹1, ₹2 and ₹5 coins using above equations and value of x.

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