Question

Akshaya has 2 rupee coins and 5 rupee coins in her purse. If in all she has 80 coins totalling 220,how many coins of each kind does she have.

Answer 1

Answer: The answer is 60 2 rupees coins and 20 5 rupees coins.

Step-by-step explanation:   Given that Akshaya has 2 rupee coins and 5 rupee coins in her purse. She has 80 coins total of rupees 220. We are to find the number of coins of each kind she have.

Let, 'x' be the number of 2 rupees coins and 'y' be the number of 5 rupees coins.

Then, according to the question, we have

$x+y=80~~\Rightarrow y=80-x.$

and

$2x+5y=220\\\\\Rightarrow 2x+5(80-x)=220\\\\\Rightarrow 2x+400-5x=220\\\\\Rightarrow -3x=-180\\\\\Rightarrow x=60.$

Therefore,

$y=80-x=80-60=20.$

Thus, the number of 2 rupees coins is 60 and number of 5 rupees coins is 20.

Answer 2

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