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8 chairs and 5 tables for a classroom co...

8 chairs and 5 tables for a classroom cost Rs.10500, while 5 chairs and 3 tables cost Rs. 6450. Find the cost of each chair and that of each table.

Text Solution

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Let the cost of a chair is `x` Rs and the cost of a table is `y` Rs.
Then,
`8x+ 5y = 10500 ->(1)`
`5x+3y = 6450->(2)`
Multiplying (1) with `3` and (2) with `5`, and then subtracting (2) from (1),
`24x+15y-25x-15y = 31500-32250`
`-x = -750 => x= 750`
Putting value of `x` in (1),
...
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