The total expenditure per month of a house-hold consists of a fixed rent of the house and mess charges depending upon the number of people sharing the house. The total expenditure is Rs. 7500 and 5 people are in the house. Formulate a linear equation in two variables to express this situation.
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Step-by-step explanation:
Monthly expenditure of two people = rent + 2 * mess charges = Rs 3900
Monthly expenditure for 5 people = rent + 5 * mess charges = Rs 7500
Subtract first equation from the second..
( 5-2) = 3 people's mess charges = Rs 7500 - 3900 = Rs 3,600
one persons mess charges = 3600/3 = Rs 1,200
Monthly expenditure for two people = rent + 2 * 1200 = Rs 3900
rent = Rs 3900 - 2400
rent = Rs 1,500
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