Answer :

Let the cost of each spoon and each fork are x and y respectively.


According to question,


23 × (cost of each spoon) + 17 × (cost of each fork) = 1770, and


17 × (cost of each spoon) + 23 × (cost of each fork) = 1830


23x + 17y = 1770.....(1)


17x + 23y = 1830.....(2)


from equation (1), we get -


x = (1770 - 17y)/23.....(3)


substituting the value of x in equation (2), we get -





30090 + 240y = 42090


240y = 12000


y = 50


substituting the value of y in equation (3), we get -


x = 40


Thus the cost of each spoon is Rs. 40 and that of a fork is Rs. 50.


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