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Question
3 chairs and 1 table cost ₹ 900; whereas 5 chairs and 3 tables cost ₹ 2,100. If the cost of 1 chair is ₹ x and the cost of 1 table is ₹ y, then the situation can be represented algebraically as ______.
Options
3x + y = 900, 3x + 5y = 2100
x + 3y = 900, 3x + 5y = 2100
3x + y = 900, 5x + 3y = 2100
x + 3y = 900, 5x + 3y = 2100
Solution
3 chairs and 1 table cost ₹ 900; whereas 5 chairs and 3 tables cost ₹ 2,100. If the cost of 1 chair is ₹ x and the cost of 1 table is ₹ y, then the situation can be represented algebraically as 3x + y = 900, 5x + 3y = 2100.
Explanation:
Since, cost of 1 chair = ₹ x
cost of 1 table = ₹ y
Now, 3 chairs and 1 table cost ₹ 900 can be represented as 3x + y = 900
and 5 chairs and 3 tables cost ₹ 2100 can be represented as 5x + 3y = 2100
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