Question

WPR:- A man has only 50 paise coins and 25 paise coins in his purse. If he has 140 coins in all totalling Rs 50, how many coins of each kind does he have?

Class:- 10

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Answer 1

HELLO !!!!.....

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LET the number of 50 paisa coins be x and 25 paisa coins be y

so , 50x +25y = 5000. - - - - - (1) ( converting values in paisa)

and x +y = 140. - - - - - - (2)

so x = 140 - y 


PUTTING the value of x in equation (1)

so, 50(140 - y) + 25y = 5000

7000 - 50y + 25y = 5000

-25y = 5000 -7000

-25y = - 2000

==> y = 2000/25 = 80



SO, the number of coins 25 paisa is 80 now putting this value of y in eq ( 2 )

x + y = 140

x + 80 = 140

and x = 140 - 80 = 60

==> x = 60

50 paise coins = 60

and 25 paise coins = 80

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HOPE IT HELPS U !!!

# NIKKY