Question
3 chairs and 2 tables cost Rs. 700 and 5 chairs and 3
tables cost Rs. 1100. What is the cost of 1 chair and 2 tables?Solution
ATQ, Set up equations: 3x+2y=700 (3 chairs and 2 tables cost Rs. 700) 5x+3y=1100 (5 chairs and 3 tables cost Rs. 1100) Solve using elimination: Multiply the first equation by 3: 9x+6y=2100 Multiply the second equation by 2: 10x+6y=2200 Subtract to find x: x=100 Find y: Substitute x=100 into 3x+2y=700 to get y=200. Calculate the desired cost: x+2y=100+2(200)=500 Rs. The cost of 1 chair and 2 tables is Rs. 500.
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