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Question

A part of monthly expenses of a family is constant and the remaining vary with the number of members in the family. For a family of 4 persons. the total monthly expenses are Rs. 10.400: whereas for a family of 7 persons. the total monthly expenses are Rs. 15,800. Find the constant expenses per month and the monthly expenses on each member of a family.

Let the constant monthly expenses be Rs. x and for each member of the family the monthly expenses be Ra. y.

∴ x+4y=10,400 and x+7y=15,800.

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Solution

Let the constant monthly expenses be Rs. x and for each member of the family the monthly expenses be Ra. y.

∴x+4y=10,400 and x+7y=15,800.

x+4y=10,400

x+7y=15,800

---------------------------------

3y=5400

y=1800

x=3200

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