Question

The total cost of 3 charis and 2 tables is rs.4500.the total cost of 2chair and 3table is rs.5500.find the total cost of a chair and a table

Answer 1

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HERE IS YOUR ANSWER

$let \: the \: cost \: of \: chair \: and \: table \: be \: x \: and \: y$
A/Q
$3x + 2y = 4500 \\ = > x = 4500 - 2y \div 3 \: \: \: - > i \\ and \\ 2x + 3y = 5500 \\ = > 2 \times 4500 - 2y \div 3 + 3y = 5500 \: \: - > from \: i \\ = > 9000 - 4y + 9y \div 3 = 5500 \\ = > 9000 + 5y = 16500 \\ = > 5y = 7500 \\ = > y = 1500 \: \: \: \: \: - > ii \\ now \\ i = > x = 4500 - 2y \div 3 \\ = > x = 4500 - 2 \times 1500 \div 3 \\ = > x = 4500 - 3000 \div 3 \\ = > x = 1500 \div 3 \\ = > x = 500$
Therefore,
The total cost of a chair and a table is Rs.500 and Rs.1500 respectively.



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