23 spoons and 17 forks together cost Rs.1770, while 17 spoons and 23 forks together cost Rs.1830. Find the cost of a spoon and that of a fork.

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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