the total cost of 3 tables and 2 chairs is 1850. If a table costs 75 more than a chair, find
the price of each.
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- Cost of 3 table and 2 chairs = Rs. 1850
- Cost of table is Rs. 75 more than a chair
______________________
- Cost of chair and table = ??
______________________
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Let the cost of chair be x and the cost of table be y
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- Cost of 3 tables and 2 chairs = Rs. 1850
⠀⠀⠀⠀
3y + 2x = 1850 ----- ( i )
⠀⠀⠀⠀
- Cost of table is 75 more than chair
⠀⠀
x + 75 = y ----- ( ii )
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- Putting value of y from eq ( ii ) in eq ( i )
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3 ( x + 75 ) + 2x = 1850
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3x + 225 + 2x = 1850
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5x + 225 = 1850
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5x = 1850 - 225
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5x = 1625
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x = 1625 / 5
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x = 325
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- putting value of x in eq ( ii )
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x + 75 = y
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325 + 75 = y
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y = 400
______________________
- Cost of chair = x = Rs. 325
- Cost of table = y = Rs. 400
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