a purse only has one rupee coins and 2 rupee coins in it.the number of two rupee coins is one third of one rupee coin.if the purse has 115 rupees in it.find the number of 2 rupee coins
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Let the number of one rupee coins be 3x.
So, the number of two rupee coins be x.
Now, value of 3x one rupee coins = Rs. 1×3x= Rs. 3x and
value of x two rupee coins = Rs. 2×x= Rs. 2x
Given, value of coins = Rs. 115
⇒3x+2x=115
⇒5x=115
⇒x=23
Hence, there are 23 two rupee coins in the purse.
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