Question

a part of monthly expenses of a family is constant and the remaining vary with the number of member in the family. for a family of 4 person the total expenses are 10400 where as a family of 7 person the total expenses are 15800 find the constant expenses per month and the monthly expenses on each member of a family

Answer 1

Let c be the constant expense per month

 

and m be monthly expense per each member of family

 

For a family of 4 total expense = constant expense + number of family members * monthly expense per family member

 

So Total expense = c + 4*m = 10,400

 

For a family of 7 we have c + 7*m = 15,800

 

Solve these 2 eq. in 2 unknowns to find c and m

 

Subtract eq 1 from eq 2

 

3m = 5400

m = 1800

 

Substitute for m in eq. 1

c + 4*1800 = 10,400

 

c = 3200

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Answer 2

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