Question

Linear equation for the following case: Abha has three times as many 2 rupee coins as she has 5 rupee coins. She has in all a sum of Rs. 77.?​

Answer 1

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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